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

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

2006-06-30

arxiv.org/abs/math/0606790v1

Contemporary Mathematics, 398 (2006) 321-346

Mathematics

K-Theory and Homology

Galley proofs of published article sadly had numerous tex errors that were not corrected - this is the original article w/o te

Scientific paper

Heat 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).

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