Cyclic Homology in Non-Commutative Geometry

Beschreibung

Neuware -Cyclic homology was introduced in the early eighties independently by Connes and Tsygan. They came from different directions. Connes wanted to associate homological invariants to K-homology classes and to describe the index pair ing with K-theory in that way, while Tsygan was motivated by algebraic K-theory and Lie algebra cohomology. At the same time Karoubi had done work on characteristic classes that led him to study related structures, without however arriving at cyclic homology properly speaking. Many of the principal properties of cyclic homology were already developed in the fundamental article of Connes and in the long paper by Feigin-Tsygan. In the sequel, cyclic homology was recognized quickly by many specialists as a new intriguing structure in homological algebra, with unusual features. In a first phase it was tried to treat this structure as well as possible within the traditional framework of homological algebra. The cyclic homology groups were computed in many examples and new important properties such as prod uct structures, excision for H-unital ideals, or connections with cyclic objects and simplicial topology, were established. An excellent account of the state of the theory after that phase is given in the book of Loday.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 156 pp. Englisch.

Bestandsnummer des Verkäufers 9783540404699

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Bibliografische Details

Titel

Cyclic Homology in Non-Commutative Geometry

Verlag

Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 2003

Erscheinungsjahr

2003

Sprache

Englisch

ISBN-10

3540404694

ISBN-13

9783540404699

Einband

Buch

Zustand

Neu

Abmessungen

241B x 160 H x 14 T Millimeter Breite: 241 mm, Höhe: 160 mm, Tiefe: 14 mm

Gewicht

407 Gramm

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