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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