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Entire cyclic homology of stable continuous trace algebras
Author(s) -
Mathai Varghese,
Stevenson Danny
Publication year - 2007
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdl010
Subject(s) - cyclic homology , mathematics , cohomology , homology (biology) , pure mathematics , trace (psycholinguistics) , cellular homology , hochschild homology , computation , relative homology , mayer–vietoris sequence , singular homology , algebra over a field , de rham cohomology , equivariant cohomology , chemistry , amino acid , algorithm , biochemistry , linguistics , philosophy
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 .