Regular dilations of representations of product systems

Details Regular dilations of representations of product systems Regular dilations of representations of product systems

2005-04-07

arxiv.org/abs/math/0504129v1

Mathematics

Operator Algebras

30 pages, Latex

Scientific paper

We study completely contractive representations of product systems $X$ of correspondences over the semigroup $\mathbb{Z}_+^k$. We present a necessary and sufficient condition for such a representation to have a regular isometric dilation. We discuss representations that doubly commute and show that these representations induce completely contractive representations of the norm closed algebra generated by the image of the Fock representation of $X$.

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