Cyclic cohomology and algebra extensions |
| |
| Authors: | Daniel Quillen |
| |
| Affiliation: | (1) Mathematical Institute, University of Oxford, 24-29 St Giles, OX1 3LB Oxford, UK |
| |
| Abstract: | We construct a spectral sequence to study cyclic cohomology for an extension A = R/I of algebras. When R is a free algebra we describe the cyclic cohomology of A in terms of traces defined on R or powers of I. Explicit cyclic cocycles representing the cyclic cohomology class belonging to the trace are constructed as analogues of Chern character and Chern-Simons forms.Dedicated to Alexander Grothendieck |
| |
| Keywords: | Cyclic cohomology algebra extension bar construction index map Chern character Chern-Simons form |
| 本文献已被 SpringerLink 等数据库收录！ |
