Hochschild- and Cyclic-Homology of LCNT-spaces

Christian Oliver Ewald

doi:10.1007/s00220-004-1149-9

Hochschild- and Cyclic-Homology of LCNT-spaces

Christian Oliver Ewald

Research output: Contribution to journal › Article › peer-review

Abstract

We define a class of topological spaces( LCNT spaces) which come together with a nuclear Frechet algebra. Like the algebra of smooth functions on a manifold, this algebra carries the differential structure of the object. We compute the Hochschild homology of this algebra and show that it is isomorphic to the space of differential forms. This is a generalization of a result obtained by Alain Connes in the framework of smooth manifolds.

Original language	English
Pages (from-to)	195-213
Number of pages	19
Journal	Communications in Mathematical Physics
Volume	250
Issue number	1
DOIs	https://doi.org/10.1007/s00220-004-1149-9
Publication status	Published - Sept 2004

Keywords

K-THEORY
EXCISION

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10.1007/s00220-004-1149-9

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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Hochschild- and Cyclic-Homology of LCNT-spaces

Abstract

Keywords

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