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28 March 2024
 
  » arxiv » math.KT/0412485

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Entire cyclic homology of continuous trace algebras
Varghese Mathai ; Danny Stevenson ;
Date 24 Dec 2004
Subject K-Theory and Homology; Differential Geometry MSC-class: 19D55; 46L80 | math.KT hep-th math.DG
AbstractA central result here 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.
Source arXiv, math.KT/0412485
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