The generalized Chern character and Lefschetz numbers in W*-modules

Details The generalized Chern character and Lefschetz numbers in W*-modules The generalized Chern character and Lefschetz numbers in W*-modules

2000-03-20

arxiv.org/abs/math/0003116v2

Mathematics

Operator Algebras

24 pages, LaTeX 2.09, minor misprint changes

Scientific paper

We define N-theory being some analogue of K-theory 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 A-elliptic complex. We study them in the situation when U is an element of a representation of some compact Lie group.

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