Some algebraic properties of cyclic homology groups |
| |
Authors: | Christine E Hood and John D S Jones |
| |
Institution: | (1) Mathematics Institute, University of Warwick, CV4, 7AL Coventry, England |
| |
Abstract: | In 10], see also 8], a cyclic homology theory HC
*
–
was introduced. The purpose of this paper is to study algebraically the properties of this version of cyclic homology. First we study its relation to Connes cyclic cohomology theory HC
* and to the usual cyclic homology theory HC
* studied by Loday and Quillen in 15]. We explain the precise sense in which HC
*
–
is dual to HC
*. Next we study products and describe a general method for constructing product operations in cyclic homology and cohomology theories. Finally we examine the relation between the theory HC
*
–
and algebraic K-theory. |
| |
Keywords: | Cyclic homology products chern character |
本文献已被 SpringerLink 等数据库收录! |