On the Banach \(^{\ast}\)-algebra crossed product associated with a topological dynamical system

DOI10.1016/j.jfa.2012.03.013zbMath1311.46046arXiv0902.0690OpenAlexW2155638631MaRDI QIDQ425748

Jun Tomiyama, Christian Svensson, M. F. E. de Jeu

Publication date: 8 June 2012

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

Full work available at URL: https://arxiv.org/abs/0902.0690

zbMATH Keywords

ideal structureinvolutive Banach algebracrossed producttopological dynamical system

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Structure, classification of topological algebras (46H20) Ideals and subalgebras (46H10)

Related Items (11)

Positivity and Schwarz inequality for Banach \(*\)-algebras ⋮ Algebraically irreducible representations and structure space of the Banach algebra associated with a topological dynamical system ⋮ Topologically irreducible representations of the Banach -algebra associated with a dynamical system ⋮ Representations of polynomial covariance type commutation relations by linear integral operators on \(L_p\) over measure spaces ⋮ Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system ⋮ Linear integral operators on \(L_p\) spaces representing polynomial covariance type commutation relations ⋮ Multiplication and linear integral operators on \(L_p\) spaces representing polynomial covariant type commutation relations ⋮ Representations of polynomial covariance type commutation relations by piecewise function multiplication and composition operators ⋮ Amenable crossed product Banach algebras associated with a class of \(\mathrm C^*\)-dynamical systems ⋮ MAXIMAL COMMUTATIVE SUBRINGS AND SIMPLICITY OF ORE EXTENSIONS ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations

Cites Work

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• Dynamical systems associated with crossed products
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• C* -ALGEBRAS AND TOPOLOGICAL DYNAMICAL SYSTEMS
• DYNAMICAL SYSTEMS AND COMMUTANTS IN CROSSED PRODUCTS
• \(C^*\)-algebras by example

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