Noncommutative joint dilations and free product operator algebras

DOI10.2140/pjm.1998.186.111zbMath0934.46057OpenAlexW2146028894MaRDI QIDQ1306227

Gelu Popescu

Publication date: 20 December 1999

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1998.186.111

zbMATH Keywords

Naimark dilation theoremvon Neumann inequalitycommutant lifting theorembounded representationsfactorization theoremsamalgamated free product operator algebracompletely isometricallyminimal joint isometric dilationsnoncommutative disc algebrapositive definite operator-valued kernels

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) General theory of (C^*)-algebras (46L05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Free products of (C^*)-algebras (46L09)

Related Items (4)

Commutative Dilation Theory ⋮ Derivations for a class of matrix function algebras ⋮ Arens–Michael envelopes, homological epimorphisms, and relatively quasi-free algebras ⋮ Representations of product systems over semigroups and dilations of commuting CP maps

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