Discrete product systems and their \(C^*\)-algebras

DOI10.1016/0022-1236(91)90133-PzbMath0745.46057MaRDI QIDQ1180627

Hung T. Dinh

Publication date: 27 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

*-representationsFock statecontinuous product systemscontinuous semigroups of normal *- endomorphisms of the algebra of all bounded operators on a given Hilbert spaceindex theory for \(E_ 0\)-semigroupsquasi-free automorphisms

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (13)

Multipliers on Subsemigroups of the Real Line ⋮ Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction ⋮ An essential representation for a product system over a finitely generated subsemigroup of \(\mathbb {Z}^{d}\) ⋮ Discrete product systems with twisted units ⋮ \(\mathrm C^*\)-envelopes of semicrossed products by lattice ordered abelian semigroups ⋮ Couniversality and controlled maps on product systems over right LCM semigroups ⋮ COMPACTLY-ALIGNED DISCRETE PRODUCT SYSTEMS, AND GENERALIZATIONS OF ${\mathcal O}_\infty$ ⋮ Representations of product systems over semigroups and dilations of commuting CP maps ⋮ Product systems over right-angled Artin semigroups ⋮ Multivariable moment problems ⋮ Tensor algebras of product systems and their \(C^\ast \)-envelopes ⋮ Discrete product systems and twisted crossed products by semigroups ⋮ A uniqueness theorem for the Nica-Toeplitz algebra of a compactly aligned product system

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