On continuous cohomology of locally compact Abelian groups and bilinear maps
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Abstract:
Let $A$ be an abelian topological group and $B$ a trivial topological $A$-module. In this paper we define the second bilinear cohomology with a trivial coefficient. We show that every abelian group can be embedded in a central extension of abelian groups with bilinear cocycle. Also we show that in the category of locally compact abelian groups a central extension with a continuous section can be embedded in the second bilinear cohomology.
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Journal title
volume 1 issue 1
pages 67- 77
publication date 2013-11-01
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