Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 289

Remarks on Pseudocharacters and the Real Continuous Bounded Cohomology of Connected Locally Compact Groups

A. I. Shtern

Results on Borel pseudocharacters on locally compact groups are presented and their applications to the description of their second continuous bounded cohomology groups are indicated. In particular, it is proved that the second real continuous bounded cohomology group of a connected locally compact group is finite-dimensional.

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