Measurable Kac cohomology for bicrossed products
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cohomologycompactgroupslocallytheoryarisesbicrossedcalculations
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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.
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