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Bulletin of the London Mathematical Society Advance Access originally published online on December 15, 2006
Bulletin of the London Mathematical Society 2007 39(1):71-75; doi:10.1112/blms/bdl010
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© 2006 London Mathematical Society

Entire cyclic homology of stable continuous trace algebras

Varghese Mathai

Department of Pure Mathematics
University of Adelaide
Adelaide 5005
Australia
vmathai{at}maths.adelaide.edu.au

Danny Stevenson

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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