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Twisted Homology of Quantum SL(2) - Part II

Published online by Cambridge University Press:  02 October 2009

Tom Hadfield
Gloucester Research, Whittington House, 19-30 Alfred Place, London WC1E 7EA, UK;
Ulrich Krähmer
University of Glasgow, Department of Mathematics, University Gardens, Glasgow G12 8QW, UK;
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We complete the calculation of the twisted cyclic homology of the quantised coordinate ring = ℂq [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.

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