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Entire cyclic homology of Schatten ideals

J. Brodzki·R. J. Plymen
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Abstract

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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J. Brodzki, R. J. Plymen. 2004-09-23. Entire cyclic homology of Schatten ideals. https://arxiv.org/abs/math/0409164

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