The non-unital version of Connes' theorem on the Hochschild class of the Chern character
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.
We have received feedback that our proof requires additional details and that the discussion is overly reliant on our previous memoirs article. We are discussing the preparation of a new version