| 期刊全称 | Asymptotic Cyclic Cohomology | | 影响因子2023 | Michael Puschnigg | | 视频video | | | 学科分类 | Lecture Notes in Mathematics | | 图书封面 |  | | 影响因子 | The aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories defined by natural chain complexes. The basic example is the approximation of topological K-theory by de Rham cohomology via the classical Chern character. A cyclic cohomology theory for operator algebras is developed in the book, based on Connes‘ work on noncommutative geometry. Asymptotic cyclic cohomology faithfully reflects the basic properties and features of operator K-theory. It thus becomes a natural target for a Chern character. The central result of the book is a general Grothendieck-Riemann-Roch theorem in noncommutative geometry with values in asymptotic cyclic homology. Besides this, the book contains numerous examples and calculations of asymptotic cyclic cohomology groups. | | Pindex | Book 1996 |
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发表于 2025-3-21 16:42:23
