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

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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.
29 pages, to appear in Advances in Mathematics

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Operator Algebras, K-Theory and Homology

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http://salesiana.dossiersoluciones.com/handle/123456789/73063

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411021
 http://arxiv.org/abs/math/0411021

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arXiv