On the noncommutative spectral flow

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dc.creatorWahl, Charlotte
dc.date2006-02-07
dc.date2007-07-21
dc.date.accessioned2026-07-07T08:19:16Z
dc.date.available2026-07-07T08:19:16Z
dc.descriptionWe define and study the noncommutative spectral flow for paths of regular selfadjoint Fredholm operators on a countably generated Hilbert C*-module. We give an axiomatic description and discuss some applications. One of them is the definition of a noncommutative Maslov index for paths of Lagrangians which appears in a splitting formula for the spectral flow. Analogously we study the spectral flow for odd operators on a graded module.
dc.description48 pages, 1 figure; statement of Prop. 3.7 generalized, discussion of references updated, minor changes
dc.identifierhttps://arxiv.org/abs/math/0602110
dc.identifierhttp://arxiv.org/abs/math/0602110
dc.identifierJ. Ramanujan Math. Soc. 22 (2), 2007, pp. 135-187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134708
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subjectK-Theory and Homology
dc.subject58J30: 19K56; 46L80
dc.titleOn the noncommutative spectral flow
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