Abstract
With the help of some structure results for locally compact groups, the second real continuous bounded cohomology group of a connected locally compact group is described and it is proved that the corresponding group is finite-dimensional for any almost connected locally compact group.
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Shtern, A.I. Structure Properties and Real Continuous Bounded 2-Cohomology of Locally Compact Groups. Functional Analysis and Its Applications 35, 294–304 (2001). https://doi.org/10.1023/A:1013130608452
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DOI: https://doi.org/10.1023/A:1013130608452