On infinite tensor products of projective unitary representations

Details On infinite tensor products of projective unitary representations On infinite tensor products of projective unitary representations

2000-01-20

arxiv.org/abs/math/0001110v2

Mathematics

Operator Algebras

21 pages, Latex; updated version with few slight changes, some Comments have been deleted. Rocky Mountain J. Math., to appear

Scientific paper

We initiate a study of infinite tensor products of projective unitary representations of a discrete group G. Special attention is given to regular representations twisted by 2-cocycles and to projective representations associated with CCR-representations of bilinear maps. Detailed computations are presented in the case where G is a finitely generated free abelian group. We also discuss an extension problem about product type actions of G, where the projective representation theory of G plays a central role.

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