English

On infinite tensor products of projective unitary representations

Operator Algebras 2007-05-23 v2 Functional Analysis Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0001110,
  title  = {On infinite tensor products of projective unitary representations},
  author = {Erik Bedos and Roberto Conti},
  journal= {arXiv preprint arXiv:math/0001110},
  year   = {2007}
}

Comments

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