The Hochschild Class of the Chern Character For Semifinite Spectral Triples

2003/12/03 by A. Carey, Alan L. Carey, Jessica Phillips +9
Mathematics · #19K56 #46L80 #Advanced Operator Algebra Research #FOS: Mathematics #Mathematical Analysis and Transform Methods #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #math.OA #msc:19K56 #msc:46L80

paper · pdf · doi:10.48550/arxiv.math/0312073

38 pages

arxiv created 2003/12/03 · openalex publication_date 2003/12/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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