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7 papers · 1 filter
The Poisson Kernel for Hardy Algebras
Paul S. Muhly, Baruch Solel
This note contributes to a circle of ideas that we have been developing recently in which we view certain abstract operator algebras , which we call Hardy algebras,…
Operator algebras associated with unitary commutation relations
Stephen C. Power, Baruch Solel
We define nonselfadjoint operator algebras with generators subject to the unitary commutation relations of the form \[ L_{e_i}L_{f_j} =…
Regular dilations of representations of product systems
Baruch Solel
We study completely contractive representations of product systems of correspondences over the semigroup . We present a necessary and sufficient condition for s…
Representations of product systems over semigroups and dilations of commuting CP maps
Baruch Solel
We study completely contractive representations of product systems of -correspondences over semigroups. For a product system of -correspondences over the semigroup $\math…
You Can See the Arrows in a Quiver Operator Algebra
Baruch Solel
We prove that two quiver operator algebras can be isometrically isomorphic only if the quivers (=directed graphs) are isomorphic. We also show how the graph can be recovered from c…
Hardy Algebras, W*-Correspondences and Interpolation Theory
Paul S. Muhly, Baruch Solel
Given a von Neumann algebra and a -correspondence over , we construct an algebra that we call the Hardy algebra of . When ,…