On a generalized Connes-Hochschild-Kostant-Rosenberg theorem

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dc.creatorMathai, Varghese
dc.creatorStevenson, Danny
dc.date2004-04-19
dc.date2004-11-14
dc.date.accessioned2026-07-07T06:25:52Z
dc.date.available2026-07-07T06:25:52Z
dc.descriptionThe central result here is an explicit computation of the Hochschild and cyclic homologies of a natural smooth subalgebra of stable continuous trace algebras having smooth manifolds X as their spectrum. More precisely, the Hochschild homology is identified with the space of differential forms on X, and the periodic cyclic homology with the twisted de Rham cohomology of X, thereby generalizing some fundamental results of Connes and Hochschild-Kostant-Rosenberg. The Connes-Chern character is also identified here with the twisted Chern character.
dc.description35 pages, latex2e, uses xypic. To appear in, Advances in Mathematics
dc.identifierhttps://arxiv.org/abs/math/0404329
dc.identifierhttp://arxiv.org/abs/math/0404329
dc.identifierAdvances in Mathematics, vol. 200 no. 2 (2006) 303-335
dc.identifierdoi:10.1016/j.aim.2004.11.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96953
dc.subjectK-Theory and Homology
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subject19D55, 46L80
dc.titleOn a generalized Connes-Hochschild-Kostant-Rosenberg theorem
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