Article ID Journal Published Year Pages File Type
4668310 Advances in Mathematics 2006 38 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)