Measurable Kac cohomology for bicrossed products

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

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Operator Algebras, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/68061

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307172
 http://arxiv.org/abs/math/0307172
 Trans. Amer. Math. Soc. 357 (2005), 1497-1524

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arXiv