The Hochschild class of the Chern character for semifinite spectral triples

Alan L. Carey; John Phillips; Adam Rennie; Fyodor A. Sukochev

doi:10.1016/j.jfa.2003.11.016

The Hochschild class of the Chern character for semifinite spectral triples

Alan L. Carey, John Phillips^*, Adam Rennie, Fyodor A. Sukochev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

42 Citations (Scopus)

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.

Original language	English
Pages (from-to)	111-153
Number of pages	43
Journal	Journal of Functional Analysis
Volume	213
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2003.11.016
Publication status	Published - 1 Aug 2004

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title = "The Hochschild class of the Chern character for semifinite spectral triples",

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.",

keywords = "Chern character, Cyclic cohomology, Fredholm module, Von Neumann algebra",

author = "Carey, {Alan L.} and John Phillips and Adam Rennie and Sukochev, {Fyodor A.}",

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AU - Carey, Alan L.

AU - Phillips, John

AU - Rennie, Adam

AU - Sukochev, Fyodor A.

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Y1 - 2004/8/1

N2 - 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.

AB - 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.

KW - Chern character

KW - Cyclic cohomology

KW - Fredholm module

KW - Von Neumann algebra

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DO - 10.1016/j.jfa.2003.11.016

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VL - 213

SP - 111

EP - 153

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

The Hochschild class of the Chern character for semifinite spectral triples

Abstract

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