Resumen de Representing a Product System Representation as a Contractive Semigroup and Applications to Regular Isometric Dilations

Orr Moshe Shalit

• In this paper we propose a new technical tool for analyzing representations of Hilbert C*-product systems. Using this tool, we give a new proof that every doubly commuting representation over Nk has a regular isometric dilation, and we also prove sufficient conditions for the existence of a regular isometric dilation of representations over more general subsemigroups of R+k.