The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case
Operator Algebras
2007-05-23 v1 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.math/0411021,
title = {The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case},
author = {Alan L. Carey and John Phillips and Adam Rennie and Fyodor A. Sukochev},
journal= {arXiv preprint arXiv:math/0411021},
year = {2007}
}
Comments
29 pages, to appear in Advances in Mathematics