The non-unital version of Connes' theorem on the Hochschild class of the Chern character

2018/03/07 by Carey, Alan L., Rennie, A.
#FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1803.02600

Abstract

We offer a short proof of Connes' Hochschild class of the Chern character formula for non-unital semifinite spectral triples. The proof is simple due to its reliance on the authors' extensive work on a refined version of the local index formula, and the consequent understanding of the passage from generalised residues of zeta functions to representations in terms of singular traces.

Related

• The Hochschild Class of the Chern Character For Semifinite Spectral Triples
• The Connes character formula for locally compact spectral triples
• The Chern Character of Semifinite Spectral Triples
• On von Neumann spectral triples
• Twisted Spectral Triples and Connes' Character Formula