Measurable Kac cohomology for bicrossed products

Details Measurable Kac cohomology for bicrossed products Measurable Kac cohomology for bicrossed products

2003-07-11

arxiv.org/abs/math/0307172v2

Trans. Amer. Math. Soc. 357 (2005), 1497-1524

Mathematics

Operator Algebras

We added some details on pentagonal cohomology, on resolutions and provided several extra remarks

Scientific paper

We study the Kac cohomology for matched pairs of locally compact groups. This
cohomology theory arises from the extension theory of locally compact quantum
groups. We prove a topological version of the Kac exact sequence and provide
methods to compute the cohomology. We give explicit calculations in several
examples using results of Moore and Wigner.

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