Measurable Kac cohomology for bicrossed products

Baaj, Saad; Skandalis, Georges; Vaes, Stefaan

doi:10.1090/S0002-9947-04-03734-1

Measurable Kac cohomology for bicrossed products
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Trans. Amer. Math. Soc. 357 (2005), 1497-1524 Request permission

Abstract:

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 measurable 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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