The Hochschild Class of the Chern Character For Semifinite Spectral Triples

Details The Hochschild Class of the Chern Character For Semifinite Spectral Triples The Hochschild Class of the Chern Character For Semifinite Spectral Triples

2003-12-03

arxiv.org/abs/math/0312073v1

Mathematics

Operator Algebras

38 pages

Scientific paper

We provide a proof of Connes' formula for a representative of the Hochschild
class of the Chern character for (p,\infty)-summable spectral triples. Our
proof is valid for all semifinite von Neumann algebras, and all integral p\geq
1. We employ the minimum possible hypotheses on the spectral triples.

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