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The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case

Alan L. Carey·John Phillips·Adam Rennie·Fyodor A. Sukochev
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Abstract

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.

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Alan L. Carey, John Phillips, Adam Rennie, Fyodor A. Sukochev. 2004-11-01. The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case. https://arxiv.org/abs/math/0411021

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