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The Hochschild Class of the Chern Character For Semifinite Spectral Triples

A. Carey, J. Phillips, A. Rennie, F. Sukochev

math.OAarXiv:math/0312073

Abstract

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

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