Cyclic Homology (Google eBook)
From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and an introduction to Connes'work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology. The bibliographic comments at the end of each chapter offer good suggestions for further reading and research. The book can be strongly recommended to anybody interested in noncommutative geometry, contemporary algebraic topology and related topics." European Mathematical Society Newsletter
In this second edition the authors have added a chapter 13 on MacLane (co)homology.
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Representations and Cohomology: Volume 2, Cohomology of Groups and Modules
D. J. Benson
Limited preview - 1998
Cyclic homology of algebras 3. Smooth algebras and other examples ... Hochschild homology and cyclic homology of group algebras ...
www-irma.u-strasbg.fr/ ~loday/ HCII_Contents.html
NONCOMMUTATIVE GEOMETRY AND QUANTUM GROUPS - Cyclic Homology Theory
This course on cyclic homology is split into 3 parts. ... Hochschild and cyclic homology of algebras (co)acted by Hopf algebras (standard and Hopf-cyclic ...
Cyclic homology - Wikipedia, the free encyclopedia
In homological algebra, cyclic homology and cyclic cohomology are (co)homology theories for associative algebras introduced by Alain Connes around 1980, ...
en.wikipedia.org/ wiki/ Cyclic_homology
Homology of L -algebras and Cyclic Homology
Next, let us briefly recall the definition of the cyclic homology of A ... In [Kh], we gave an alternative approach to cyclic homology of A ...
www.math.uiuc.edu/ K-theory/ 0275/ mar98.ps.gz
Cyclic homology and de Rham cohomology
An intriguing feature of cyclic homology is its relation to de Rham ... A over Q, the cyclic homology of A can be computed in terms of the de Rham ...
www.springerlink.com/ index/ 701H600276782472.pdf
JSTOR: Cyclic Homology for Schemes
Using hypercohomology, we can extend cyclic homology from al- gebras to all schemes over a ring k. By 'extend' we mean that the usual cyclic homology of any ...
The Hodge Filtration And Cyclic Homology - Weibel (researchindex)
We relate the Hodge filtration of the cohomology of a complex algebraic variety X to the Hodge decomposition of its cyclic homology.
HOPF–CYCLIC HOMOLOGY AND RELATIVE CYCLIC HOMOLOGY OF HOPF–GALOIS ...
The cyclic homology of group algebras over fields of characteristic 0 was ... The cyclic homology of enveloping algebras of Lie algebras is also known. As ...
journals.cambridge.org/ production/ action/ cjoGetFulltext?fulltextid=444977
Brylinski: Cyclic homology and equivariant theories
CYCLIC HOMOLOGY AND EQUIVARIANT THEORIES by Jean-Luc BRYLINSKI (*) Introduction. We discuss several equivariant theories for the action of a compact Lie ...
www.numdam.org/ numdam-bin/ fitem?id=AIF_1987__37_4_15_0
Hochschild- and Cyclic-Homology of LCNT-Spaces
Keywords: Hochschild homology, cyclic homology, stratied spaces, strati- ... In this paper we present a result about the Hochschild- and cyclic homology ...
kluedo.ub.uni-kl.de/ volltexte/ 2003/ 1605/ ps/ hochschild.ps