Hadfield, T. and Kraehmer, U. (2010) Twisted homology of quantum SL(2) - part II. Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 6(1), pp. 69-98. (doi: 10.1017/is009009022jkt091)
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Publisher's URL: http://dx.doi.org/10.1017/is009009022jkt091
Abstract
We complete the calculation of the twisted cyclic homology of the quantised coordinate ring A = C<sub>q</sub>[SL(2)] of SL(2) that we began in [14]. In particular, a nontrivial cyclic 3-cocycle is constructed which also has a nontrivial class in Hochschild cohomology and thus should be viewed as a noncommutative geometry analogue of a volume form.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Kraehmer, Dr Ulrich |
| Authors: | Hadfield, T., and Kraehmer, U. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology |
| Journal Abbr.: | J. K-Theory |
| Publisher: | Cambridge University Press |
| ISSN: | 1865-2433 |
| ISSN (Online): | 1865-5394 |
| Published Online: | 02 October 2009 |
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