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Bulletin of the London Mathematical Society Advance Access published online on December 15, 2006
Bulletin of the London Mathematical Society, doi:10.1112/blms/bdl010
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© 2006 London Mathematical Society

Entire cyclic homology of stable continuous trace algebras

Varghese Mathai1 and Danny Stevenson2

1 Department of Pure Mathematics, University of Adelaide, Adelaide 5005, Australia vmathai{at}maths.adelaide.edu.au
2 Department of Mathematics, University of California, Riverside, CA, 92521-0127 USA dstevens{at}math.ucr.edu

Received 11 August 2005.

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.


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