Actions of compact groups, C*-index theorem, and families

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dc.creatorTroitsky, Evgenij V.
dc.date1999-04-01
dc.date.accessioned2026-07-07T05:28:35Z
dc.date.available2026-07-07T05:28:35Z
dc.descriptionWe prove the index theorem for elliptic operators acting on sections of bundles where fiber is equal to a projective module over a C*-algebra, in the situation of action of a compact Lie group on this algebra as well as on the total space commuting with symbol. As an application the equivariant index theorem for families over the direct product of base by the space of parameters is obtained.
dc.descriptionLaTeX 2.09 + xypic, 51 pages, preprint is a detailed version of a combination of two papers to appear in "J. Math. Sci." and "Ann. Global Anal. Geom."
dc.identifierhttps://arxiv.org/abs/math/9904002
dc.identifierhttp://arxiv.org/abs/math/9904002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78312
dc.subjectOperator Algebras
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.subjectRepresentation Theory
dc.subject19Kxx, 46Lxx (Primary) 19K56, 19K35, 35S05, 47G30, 57R99, 57Sxx, 58G12 (Secondary)
dc.titleActions of compact groups, C*-index theorem, and families
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