The Hochschild class of the Chern character for semifinite spectral triples

摘要

We provide a proof of Connes' formula for a representative of the Hochschild class of the Chern character for (p, infinity)-summable spectral triples. Our proof is valid for all semifinite von Neumann algebras, and all integral p greater than or equal to 1. We employ the minimum possible hypotheses on the spectral triples. (C) 2004 Elsevier Inc. All rights reserved.