Heat kernels and the range of the trace on completions of twisted group algebras

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dc.contributor.authorVarghese, M.
dc.contributor.editorJorgenson, J.
dc.contributor.editorWalling, L.
dc.date.issued2006
dc.description.abstractHeat kernels are used in this paper to express the analytic index of projectively invariant Dirac type operators on G-covering spaces of compact manifolds, as elements in the K-theory of certain unconditional completions of the twisted group algebra of G. This is combined with V. Lafforgue's results in the untwisted case, to compute the range of the trace on the K-theory of these algebras, under the hypothesis that G is in the class C' (defined by V. Lafforgue).
dc.identifier.citationContemporary Mathematics, 2006; 398:321-345
dc.identifier.issn0271-4132
dc.identifier.issn1098-3627
dc.identifier.orcidVarghese, M. [0000-0002-1100-3595]
dc.identifier.urihttp://hdl.handle.net/2440/39443
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.titleHeat kernels and the range of the trace on completions of twisted group algebras
dc.typeJournal article
pubs.publication-statusPublished

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