Bönicke, C. (2021) K-theory and homotopies of twists on ample groupoids. Journal of Noncommutative Geometry, 15(1), pp. 195-222. (doi: 10.4171/JNCG/399)
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Abstract
This paper investigates the K-theory of twisted groupoid C*-algebras. It is shown that a homotopy of twists on an ample groupoid satisfying the Baum–Connes conjecture with coefficients gives rise to an isomorphism between the K-theory groups of the respective twisted groupoid C*-algebras. The results are also interpreted in an inverse semigroup setting and applied to generalized Renault–Deaconu groupoids and P-graph algebras.
| Item Type: | Articles |
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| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Bonicke, Dr Christian |
| Authors: | Bönicke, C. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics |
| Journal Name: | Journal of Noncommutative Geometry |
| Publisher: | European Mathematical Society |
| ISSN: | 1661-6952 |
| ISSN (Online): | 1661-6960 |
| Published Online: | 08 February 2021 |
| Related URLs: |
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