Hochschild- and cyclic-homology of LCNT-spaces

Ewald, C.-O. (2004) Hochschild- and cyclic-homology of LCNT-spaces. Communications in Mathematical Physics, 250(1), pp. 195-213. (doi:10.1007/s00220-004-1149-9)

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Publisher's URL: http://dx.doi.org/10.1007/s00220-004-1149-9

Abstract

We define a class of topological spaces ( LCNT spaces ) which come together with a nuclear Fr´echet 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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ewald, Professor Christian
Authors: Ewald, C.-O.
Subjects:Q Science > QA Mathematics
College/School:College of Social Sciences > Adam Smith Business School > Economics
Journal Name:Communications in Mathematical Physics
ISSN:0010-3616
ISSN (Online):1432-0916

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