Narisar Jean-Louis Loday and Daniel Quillen gave a definition via a certain double complex for arbitrary commutative rings. Alain Connes originally defined cyclic homology over fields of characteristic zeroas the homology groups of a cyclic variant of the chain complex computing Hochschild homology. Hochschild cohomologycyclic cohomology. KaledinCyclic homology with coefficientsmath. A fourth definition was given by Christian Kasselwho showed that the cyclic homology groups may be computed as the homology groups of a certain mixed complex associated to A A. There are several definitions for the cyclic homology of an associative algebra A A over a commutative ring k k.
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November - gebunden - XVIII Beschreibung 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.
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.
Inhaltsverzeichnis 1. Hochschild Homology. Cyclic Homology of Algebras. Smooth Algebras and Other Examples. Operations on Hochschild and Cyclic Homology. Variations on Cyclic Homology. Cyclic Spaces and Sl-Equivariant Homology. Chern Character. Classical Invariant Theory. Homology of Lie Algebras of Matrices.
Algebraic K-Theory. Non-commutative Differential Geometry. Mac Lane co homology. Hopf Algebras. Homology of Discrete Groups and Small Categories. Spectral Sequences. Smooth Algebras. Pressestimmen 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.
The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics co Kunden, die diesen Artikel gekauft haben, kauften auch Hugendubel Newsletter Tragen Sie Ihre E-Mail- Adresse ein, und bleiben Sie kostenlos informiert: Jetzt abonnieren.
Cyclic Homology von Jean-Louis Loday (1997, Gebundene Ausgabe)