| 书目名称 | Cyclic Homology in Non-Commutative Geometry |
| 编辑 | Joachim Cuntz,Georges Skandalis,Boris Tsygan |
| 视频video | |
| 概述 | Operator algebras and non-commutative geometry is one of the most exciting and active research areas in mathematics.Contributing authors are top experts in the field, making this subseries unique.Comp |
| 丛书名称 | Encyclopaedia of Mathematical Sciences |
| 图书封面 |  |
| 描述 | 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 |
| 出版日期 | Book 2004 |
| 关键词 | K-theory; algebra; cyclic homology; homology; non-commutative geometry |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-06444-3 |
| isbn_softcover | 978-3-642-07337-3 |
| isbn_ebook | 978-3-662-06444-3Series ISSN 0938-0396 |
| issn_series | 0938-0396 |
| copyright | Springer-Verlag Berlin Heidelberg 2004 |
发表于 2025-3-21 18:18:34
