Hochschild- and Cyclic-Homology of LCNT-Spaces |
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Authors: | Christian-Oliver Ewald |
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Institution: | (1) University of Kaiserslautern, Department of Mathematics, 67653 Kaiserslautern, Germany |
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Abstract: | We define a class of topological spaces ( LCNT spaces ) which come together with a nuclear Fréchet 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. |
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