Holmstrom Continuous group cohomology

Continuous group cohomology

For real Lie groups (and perhaps other groups?), there is a map called the van Est isomorphism, from continuous group cohomology to Lie algebra cohomology. See Burgos-Gil, section 6.2.

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Continuous group cohomology

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Continuous group cohomology

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nLab page on Continuous group cohomology