The generalized Chern character and Lefschetz numbers in W*modules
Abstract
We define Ntheory being some analogue of Ktheory on the category of von Neumann algebras such that $K_0(A)\subset N_0(A)$ for any von Neumann algebra A. Moreover, it turns out to be possible to construct the extension of the Chern character to some homomorphism from $N_0(A)$ to even Banach cyclic homology of A. Also, we define generalized Lefschetz numbers for an arbitrary unitary endomorphism U of an Aelliptic complex. We study them in the situation when U is an element of a representation of some compact Lie group.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2000
 arXiv:
 arXiv:math/0003116
 Bibcode:
 2000math......3116P
 Keywords:

 Operator Algebras;
 46L80;
 46L10
 EPrint:
 24 pages, LaTeX 2.09, minor misprint changes