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Theory of Operator Algebras II

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The article was published on 1979-01-01 and is currently open access. It has received 3776 citations till now. The article focuses on the topics: Nest algebra & Ladder operator.

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Holomorphic geometric models for representations of c ∗ -algebras

TL;DR: In this article, a new notion of reproducing kernel is proposed for dealing with involutive diffeomorphisms defined on the base spaces of the bundles of homogeneous vector bundles.
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Tsirelson's Problem and Asymptotically Commuting Unitary Matrices

TL;DR: In this article, the authors consider quantum correlations of bipartite systems having a slight interaction, and reinterpret Tsirelson's problem in terms of finite-dimensional asymptotically commuting positive operator valued measures.

Graphes de Ramanujan et applications

Alain Valette
TL;DR: In this article, the authors present conditions générales d'utilisation, i.e., toute utilisation commerciale ou impression systématique is constitutive d'une infraction pénale.
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Representations of Hardy Algebras: Absolute Continuity, Intertwiners and Superharmonic Operators

TL;DR: In this paper, the authors investigated the problem of extending completely contractive representations of a tensor algebra of a W*-correspondence on a Hilbert space to ultra-weakly continuous representations of the associated Hardy algebra on the same Hilbert space.