Entire cyclic homology of stable continuous trace algebras

Mathai, V. and Stevenson, D. (2007) Entire cyclic homology of stable continuous trace algebras. Bulletin of the London Mathematical Society, 39(1), pp. 71-75. (doi: 10.1112/blms/bdl010)

Abstract

A central result in this paper is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C*-algebras having smooth manifolds M as their spectrum. More precisely, the entire cyclic homology is shown to be canonically isomorphic to the continuous periodic cyclic homology for these algebras. By an earlier result of the authors, one concludes that the entire cyclic homology of the algebra is canonically isomorphic to the twisted de Rham cohomology of M.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Stevenson, Dr Daniel
• Authors: Mathai, V., and Stevenson, D.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Bulletin of the London Mathematical Society
• Journal Abbr.: Bull. London Math. Soc.
• ISSN: 0024-6093
• ISSN (Online): 1469-2120
• Published Online: 15 December 2006