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Twisted Homology of Quantum SL(2) - Part II

Published online by Cambridge University Press:  02 October 2009

Tom Hadfield  and
Ulrich Krähmer
Tom Hadfield
Affiliation:
Gloucester Research, Whittington House, 19-30 Alfred Place, London WC1E 7EA, UK; Thomas.Daniel.Hadfield@gmail.com
Ulrich Krähmer
Affiliation:
University of Glasgow, Department of Mathematics, University Gardens, Glasgow G12 8QW, UK; ukraehmer@maths.gla.ac.uk
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Abstract

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.

Keywords

Hochschild homologyCyclic homologyquantum groups
Type
Research Article
Information
Journal of K-Theory , Volume 6 , Issue 1 , August 2010 , pp. 69 - 98
Copyright
Copyright © ISOPP 2009

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