Entire cyclic homology of Schatten ideals

Details Entire cyclic homology of Schatten ideals Entire cyclic homology of Schatten ideals

2004-09-09

arxiv.org/abs/math/0409164v2

Mathematics

K-Theory and Homology

17 pages, revised introduction and last section

Scientific paper

Certain cocycles constructed by Connes are characters of $p$-summable Fredholm modules. In this article, we establish some consequences of the universal properties which these characters enjoy. Our main technical result is that the entire cyclic cohomology of the p-th Schatten ideal L^p (respectively, homology) is independent of p and isomorphic to the entire cyclic cohomology (respectively, homology) of the ideal of trace class operators L^1.

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