The Local Index Formula in Semifinite von Neumann Algebras I: Spectral Flow

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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 local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von Neumann algebra. In this setting it gives a formula for spectral flow along a path joining an unbounded self adjoint Breuer-Fredholm operator, affiliated to the von Neumann algebra, to a unitarily equivalent operator. Our proof is novel even in the setting of the original theorem and relies on the introduction of a function valued cocycle which is `almost' a (b,B)-cocycle in the cyclic cohomology of \A.
dc.description53 pages, to appear in Advances in Mathematics
dc.identifierhttps://arxiv.org/abs/math/0411019
dc.identifierhttp://arxiv.org/abs/math/0411019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73062
dc.subjectOperator Algebras
dc.subjectK-Theory and Homology
dc.titleThe Local Index Formula in Semifinite von Neumann Algebras I: Spectral Flow
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