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

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dc.creatorCarey, Alan L.
dc.creatorPhillips, John
dc.creatorRennie, Adam
dc.creatorSukochev, Fyodor A.
dc.date2004-11-01
dc.date.accessioned2026-07-07T05:13:50Z
dc.date.available2026-07-07T05:13:50Z
dc.descriptionWe 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.
dc.description29 pages, to appear in Advances in Mathematics
dc.identifierhttps://arxiv.org/abs/math/0411021
dc.identifierhttp://arxiv.org/abs/math/0411021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73063
dc.subjectOperator Algebras
dc.subjectK-Theory and Homology
dc.titleThe Local Index Formula in Semifinite von Neumann Algebras II: The Even Case
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