Chu-spaces, a group algebra and induced representations

Eva Schläpfer

Using the Chu-construction, we define a group algebra for topological Hausdorff groups. Furthermore, for isometric, weakly continuous representations of a subgroup $H$ of a Hausdorff group $G$ induced representations are constructed.

Keywords: chu-spaces, group algebra, induced representation.

1991 MSC: Primary 22A25, Secondary 18D15.

Theory and Applications of Categories, Vol. 5, 1999, No. 8, pp 176-201.

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