Twisted Homology of Quantum SL(2) - Part II

Details Twisted Homology of Quantum SL(2) - Part II Twisted Homology of Quantum SL(2) - Part II

2007-11-26

arxiv.org/abs/0711.4102v2

Journal of K-Theory, Volume 6, no. 1, pp 69-98 (2010)

Mathematics

Quantum Algebra

23 pages, final version accepted for publication. To appear in Journal of K-Theory

Scientific paper

10.1017/is009009022jkt091

We complete the calculation of the twisted cyclic homology of the quantised
coordinate ring of SL(2) that we began in math.QA/0405249. 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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