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

Date

2006

Authors

Varghese, M.

Editors

Jorgenson, J.
Walling, L.

Advisors

Journal Title

Journal ISSN

Volume Title

Type:

Journal article

Citation

Contemporary Mathematics, 2006; 398:321-345

Statement of Responsibility

Conference Name

Abstract

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).

School/Discipline

Dissertation Note

Provenance

Description

Access Status

Rights

License

Grant ID

Published Version

Call number

Persistent link to this record