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	Cyclic homology - Wikipedia, the free encyclopedia
		In mathematics, cyclic homology is an aspect of homological algebra.
		It was defined in 1983 by Allan Connes, as a sequence of groups written as
		It may be generally defined as a certain general procedure to associate a cyclic sequence of abelian groups or modules to a given mathematical object (such as a topological space or a group).
	en.wikipedia.org /wiki/Cyclic_homology (92 words)

	The Hodge Filtration And Cyclic Homology - Weibel (ResearchIndex) (Site not responding. Last check: 2007-11-07)
		The Hodge Filtration And Cyclic Homology - Weibel (ResearchIndex)
		0.5: Hodge decompositions of Loday Symbols in K-theory and cyclic..
		18 A Hodge-type decomposition for commutative algebra homology (context) - Gerstenhaber, Schack - 1987
	citeseer.ist.psu.edu /256060.html (600 words)

	Cyclic homology for schemes, by Charles Weibel (Site not responding. Last check: 2007-11-07)
		We extend cyclic homology from algebras to all schemes over a ring k.
		By `extend' we mean that the usual cyclic homology of any commutative algebra agrees wth the cyclic homology of its corresponding affine scheme.
		The change is in the appendix, which is a discussion of hypercohomology for unbounded cochain complexes of sheaves.
	www.math.uiuc.edu /K-theory/0043 (110 words)

	Selected Matches for: Author=cortinas (Site not responding. Last check: 2007-11-07)
		A theorem of Grothendieck establishes that the cohomology of the structure sheaf on the infinitesimal topology of a scheme of characteristic zero is de Rham cohomology.
		Cortiñas, Guillermo H. On the derived functor analogy in the Cuntz-Quillen framework for cyclic homology.
		The main theorem of the paper asserts that, in characteristic $0$, periodic cyclic homology is the derived functor of de Rham cohomology with respect to this localization.
	mate.dm.uba.ar /~gcorti/MathSci.html (2923 words)

	Topological cyclic homology of schemes (Site not responding. Last check: 2007-11-07)
		Topological cyclic homology of schemes (with Thomas Geisser)
		We use Thomasons's hypercohomology construction to extend the definition of topological cyclic homology to schemes.
		For smooth schemes over perfect fields of characteristic p we identify the topological cyclic homology sheaf for the Zariski and etale topology; in the etale topology it agrees with the p-completed K-theory sheaf.
	www-math.mit.edu /~larsh/papers/008 (117 words)

	Guillermo Cortiñas' Homepage
		The obstruction to excision in K-theory and in cyclic homology.
		On the derived functor analogy in the Cuntz-Quillen framework for cyclic homology.
		Decomposition of Hochschild and cyclic homology of commutative differential graded algebras.
	mate.dm.uba.ar /~gcorti/hpage.html (174 words)

	On the Cyclic Homology of Exact Categories - Keller (ResearchIndex) (Site not responding. Last check: 2007-11-07)
		0.5: The Hodge Filtration And Cyclic Homology - Weibel (1994)
		9 and the free Loopspace (context) - Goodwillie, Homology - 1985
		2 A model for cyclic homology and algebraic K-theory of 1-conn..
	citeseer.ist.psu.edu /496581.html (783 words)

	Cyclic Cohomology of Étale Groupoids; The General Case (ResearchIndex) (Site not responding. Last check: 2007-11-07)
		11 Cyclic Cohomology of Etale Groupoids (context) - Brylinski, Nistor - 1994
		9 Cyclic homology and the Lie algebra homology of matrices (context) - Loday, Quillen - 1984
		3 The Hodge filtration in cyclic homology (context) - Weibel - 1997
	citeseer.csail.mit.edu /1453.html (669 words)

	ANU - Mathematical Sciences Institute (MSI) - Events - Noncommutative geometry
		Cyclic homology and cohomology were discovered by Connes and Tsygan in the early 1980's, and since then have come to play a central role in Connes' formulation of noncommutative differential geometry, representing an extension of de Rham cohomology to various categories of noncommutative algebras.
		Hopf cyclic cohomology in its original form was discovered by Connes and Moscovici by a careful analysis of the algebraic structures hidden in their local index formula for transverse elliptic operators.
		We define a non-trivial pairing between the homology of a Lie-Rinehart (super-)algebra with coefficients in some partial traces and relative periodic cyclic homology.
	wwwmaths.anu.edu.au /events/ngit05/workshop.html?p=1 (1345 words)

	Bivariant Periodic Cyclic Homology (Site not responding. Last check: 2007-11-07)
		Recent work by Cuntz and Quillen on bivariant periodic cyclic homology has caused quite a revolution in the subject.
		In this self-contained exposition, the author's purpose is to understand the functorial properties of the Cuntz-Quillen theory, which motivaties his explorations of what he calls cyclic pro-homology.Simply stated, the cyclic pro-homology of an (associative) algebra A is short for the Z/2 Z-graded inverse system of cyclic homology groups of A, considered as a pro-vector space.
		It is interesting to note that for the excision result, this lifting procedure goes through without constraints.For those new to cyclic homology, Dr. Grønbaek takes care to provide an introduction to the subject, including the motivation for the theory, definitions, and fundamental results, and establishes the homological machinery needed for application to the Cuntz-Quillen theory.
	www.ramex.com /title.asp?id=6233 (553 words)

	Christian Voigt (Site not responding. Last check: 2007-11-07)
		Although the construction resembles the Cuntz-Quillen approach to ordinary cyclic homology, a completely new feature in the equivariant setting is the fact that the basic ingredient in the theory is not a complex in the usual sense.
		We prove that bivariant equivariant periodic cyclic homology is homotopy invariant, stable and satisfies excision in both variables.
		We show that the equivariant periodic cyclic homology of the associated algebras is closely related to the bivariant equivariant cohomology in the sense of Baum and Schneider.
	wwwmath.uni-muenster.de /reine/u/cvoigt (441 words)

	Recent Publications (Site not responding. Last check: 2007-11-07)
		Excision in Cyclic Homology and in Rational Algebraic K-theory, Annals of Mathematics 129 (1989), 591-639
		Vanishing of cyclic homology of stable C*-algebras, C.R. Acad.
		Cyclic homology of pseudodifferential operators and noncommutative Euler class, C.
	math.berkeley.edu /~wodzicki/Recent_Publications.html (194 words)

	Publications: M. Khalkhali
		Operations on cyclic homology, the X complex and a conjecture of Deligne, Commun.
		Cyclic homology of Hopf module colagebras and Hopf comodule algebras, Commun.
		A note on cyclic duality and Hopf algebras, to appear in Communications in Algebra.
	www.math.uwo.ca /~masoud/cv/khalkhali-pub.html (275 words)

	[No title]
		It is the initial ingredient in the construction by B"okstedt, Hsiang and Madsen [BHM93] of the topological cyclic homology T C(R; p) of the S-algebra R, which in many cases closely approximates the algebraic K-theory K(R) of R [Mc97], [Du97], [HM97].
		When R is the valuation ring in a local number field, systematic computations of the topological cyclic homology of R were made in [HM03], thereby verifying the Lichtenbaum-Quillen conjectures for the algebraic K-theory of these fields.
		Their mod p cohomology is no longer cyclic as a module over the Steenrod algebr* a, but of rank 2, so extra work is needed to describe their homology* as an A-como *dule algebra.
	hopf.math.purdue.edu /Angeltveit-Rognes/vigleik.txt (12372 words)

	OhioLINK ETD: Kaygun, Atabey (Site not responding. Last check: 2007-11-07)
		We show that one can extend the definition of Hopf cyclic homology with coefficients such that one can use bialgebras and a larger class of coefficient module/comodules.
		With the help of this extension, we calculate the bialgebra cyclic homology of the quantum deformation of an arbitrary semi-simple Lie algebra and the Hopf algebra of foliations of codimension N, with several coefficient modules.
		Hopf Algebra; Foliations; Cyclic Homology; Bialgebras; Yetter-Drinfeld; Connes-Moscovici
	rave.ohiolink.edu /etdc/view?acc_num=osu1107564231 (78 words)

	Invariance and localization (Site not responding. Last check: 2007-11-07)
		We show that two flat differential graded algebras whose derived categories are equivalent by a derived functor have isomorphic cyclic homology.
		In particular, `ordinary' algebras over a field which are derived equivalent (J. Rickard) share their cyclic homology, and iterated tilting (Brenner-Butler, Happel-Ringel, Bongartz) preserves cyclic homology.
		It also extends well known results on preservation of cyclic homology under Morita equivalence due to A. Connes, Loday-Quillen, Chr.
	www.math.jussieu.fr /~keller/publ/ilcabs.html (138 words)

	Equipe de Géométrie Non commutative (Site not responding. Last check: 2007-11-07)
		Entire cyclic homology was defined by Connes as the natural target of a Chern charactrer of a bivariant $\theta$-summable Fredholm modules.
		One is to extend the localization process of N. Teleman to Hochschild and cyclic homology of asymptotic controlled function.
		First obtain a satisfactory and adaptable presentation of the various bivariant cyclic theories which seem appropriate targets for a Chern character, Secondly find a reasonnable bivariant version of Connes monovariant definiton of a $\theta $-summable Fredholm module and its Chern charactern, Finally establisch the multiplicative property of this construction.
	picard.ups-tlse.fr /~ncg/rech.php?lang=en (817 words)

	[No title]
		The proof uses the cyclotom* ic trace map from algebraic K-theory to topological cyclic* homology, and the calcu* lation is actually made in the V (1)-homotopy of the topological cyclic* homology of* * `p.
		Contents Introduction 1.Classes in algebraic K-theory 2.Topological Hochschild homology 3.Topological cyclotomy 4.Circle homotopy fixed points 5.The homotopy limit property 6.Higher fixed points 7.The restriction map 8.Topological cyclic homology 9.Algebraic K-theory Introduction We are interested in the arithmetic of ring spectra.
		Hence these three homology classes are in the Hurewicz image from spheri* *cal classes 1 2 V (1)2p-1T HH(`), 2 2 V (1)2p2-1T HH(`) and 2 V (1)2p2T HH(`), respectively.
	hopf.math.purdue.edu /Ausoni-Rognes/tcl_us.txt (9233 words)

	DC MetaData pour: Cyclic homology of Hopf algebras (Site not responding. Last check: 2007-11-07)
		DC MetaData pour: Cyclic homology of Hopf algebras
		In this paper, we consider this object in the homological framework, in the spirit of Loday-Quillen and Karoubi's work on the cyclic homology of associative algebras.
		In the case of group algebras, we interpret yhe decomposition of the classical cyclic homology of a group algebra in terms of this homology.
	www.math.univ-montp2.fr /publis/00-16.res.html (125 words)

	"Foliation groupoids and their cyclic homology" (Site not responding. Last check: 2007-11-07)
		Moreover, we show that among the Lie groupoids integrating a given foliation, the holonomy and the monodromy groupoids are extreme examples.
		The second theorem shows that the cyclic homology of convolution algebras of foliation groupoids is invariant under Morita equivalence of groupoids, and we give explicit formulas.
		Combined with the previous results of Brylinski, Nistor and the authors, this theorem completes the computation of cyclic homology for various foliation groupoids, like the (full) holonomy/monodromy groupoid, Lie groupoids modeling orbifolds, and crossed products by actions of Lie groups with finite stabilizers.
	www.math.uu.nl /people/crainic/absflgrnou.html (203 words)

	HCII_Contents
		4.Hochschild homology and cyclic homology of group algebras
		3.The Chern character from K_0 to cyclic homology
		3.Algebraic K-theory and cyclic homology of nilpotent ideals
	www-irma.u-strasbg.fr /~loday/HCII_Contents.html (103 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		Such an algebra can be viewed as a deformation of the group algebra of the associated extended affine Weyl group.
		In this talk a proof is outlined for the assertion that the periodic cyclic homology of an Iwahori-Hecke algebra is isomorphic to the periodic cyclic homology of the group algebra of the associated extended affine Weyl group.
		In other words, the periodic cyclic homology stays constant during the deformation.
	info.fuw.edu.pl /~pmh/conf/pfiles/baum.html (145 words)

	Taylor & Francis Online (Site not responding. Last check: 2007-11-07)
		In this self-contained exposition, the author's purpose is to understand the functorial properties of the Cuntz-Quillen theory, which motivaties his explorations of what he calls cyclic pro-homology.
		Simply stated, the cyclic pro-homology of an (associative) algebra A is short for the Z/2 Z-graded inverse system of cyclic homology groups of A, considered as a pro-vector space.
		For those new to cyclic homology, Dr. Grønbaek takes care to provide an introduction to the subject, including the motivation for the theory, definitions, and fundamental results, and establishes the homological machinery needed for application to the Cuntz-Quillen theory.
	crcpress.com /shopping_cart/products/product_detail.asp?sku=LM0380&... (423 words)

	Topological Cyclic Homology (Site not responding. Last check: 2007-11-07)
		A construction called topological cyclic homology, TC(R), is performed and unifies THN and TC(;p), defined by Goodwillie.
		The listing of the files is in (approximately) the same order in which the lectures were given for coherency.
		[1]:Spectra Basics: Definitions and examples of (pre)spectra, operations on spectra, new spectra from old, abelian groups as spectra, homology and cohomology with coefficients in a spectrum.
	www.math.uiuc.edu /~cwillett/top (727 words)

	AGT 1 (2001) Paper 10 (Abstract)
		In this paper we examine certain filtrations of topological Hochschild homology and topological cyclic homology.
		As an example we show how the filtration with respect to a nilpotent ideal gives rise to an analog of a theorem of Goodwillie saying that rationally relative K-theory and relative cyclic homology agree.
		K-theory, topological Hochschild homology, cyclic homology, topological cyclic homology
	www.maths.warwick.ac.uk /agt/AGTVol1/agt-1-10.abs.html (117 words)

	Rangipour (Site not responding. Last check: 2007-11-07)
		Currently I am a PIMS postdoctoral fellow at the University of Victoria (BC Canada).
		My research interests are in Noncommutative geometry and quantum groups, in particular in cyclic homology of Hopf algebras and Hopf structures such as para-Hopf algebroids, and corings.
		4- On the generalized cyclic Eilenberg-Zilber theorem, Canad.
	www.math.uvic.ca /~bahram (143 words)

	Cyclic homology and its applications (Site not responding. Last check: 2007-11-07)
		Ji (IUPUI), "Cyclic homology and the rational injectivity of the Baum-Connes map".
		Nest (Copenhagen), "Operations on cyclic complexes and index computations".
		Nistor (Penn State), "Homology of pseudodifferential operators and the eta invariant".
	www.math.uwo.ca /research/conferences/ch-sched.html (149 words)

	DC MetaData for: Cyclic Homology and Pseudodifferential Operators, a Survey (Site not responding. Last check: 2007-11-07)
		DC MetaData for: Cyclic Homology and Pseudodifferential Operators, a Survey
		Abstract: We present a brief introduction to Hochschild and cyclic homology
		Keywords: Hochschild homology, cyclic homology, Chern character, index theory, pseudodifferential operators, non-commutative geometry
	www.esi.ac.at /Preprint-shadows/esi1249.html (98 words)

	Amazon.ca: Books: Bivariant Periodic Cyclic Homology (Site not responding. Last check: 2007-11-07)
		Designed to elucidate the functional properties of the Cuntz-Quillen theory, motivating the authors explorations of cyclic prohomology.
		Look for books like Bivariant Periodic Cyclic Homology by subject:
		Top of Page : Bivariant Periodic Cyclic Homology
	www.amazon.ca /exec/obidos/ASIN/0582368944 (109 words)

	On the cyclic homology of ringed spaces and schemes (Site not responding. Last check: 2007-11-07)
		On the cyclic homology of ringed spaces and schemes
		January 1998, revised version of September 21, 1998
		We prove that the cyclic homology of a scheme with an ample line bundle coincides with the cyclic homology of its category of algebraic vector bundles.
	www.math.jussieu.fr /~keller/publ/crsabs.html (75 words)

	Amazon.com -zShops: Cyclic Homology in Non-Commutative Geometry (Encyclopaedia of Mathematical... (Site not responding. Last check: 2007-11-07)
		Amazon.com -zShops: Cyclic Homology in Non-Commutative Geometry (Encyclopaedia of Mathematical...
		Cyclic Homology in Non-Commutative Geometry (Encyclopaedia of Mathematical Sciences)
		Brand New, Perfect Condition, Please allow 4-14 business days for delivery.
	s1.amazon.com /exec/varzea/ts/exchange-glance/Y01Y0007008Y2475900 (67 words)

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