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The local index formula in semifinite von Neumann algebras II: the even case

Carey, Alan; Phillips, John; Rennie, Adam Charles; Sukochev, Fedor A

Description

We generalise the even local index formula of Connes and Moscovici to the case of spectral triples for a*-subalgebra A of a general semifinite von Neumann algebra. The proof is a variant of that for the odd case which appears in Part I. To allow for algebras with a non-trivial centre we have to establish a theory of unbounded Fredholm operators in a general semifinite von Neumann algebra and in particular prove a generalised McKean-Singer formula.

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
URI: http://hdl.handle.net/1885/17366
Source: Advances in Mathematics
DOI: 10.1016/j.aim.2005.03.010

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