Dynamical systems associated with crossed products

DOI10.1007/s10440-009-9506-5zbMath1254.46069arXiv0707.1881OpenAlexW2177958530MaRDI QIDQ844257

Christian Svensson, Sergei D. Silvestrov, M. F. E. de Jeu

Publication date: 18 January 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1881

zbMATH Keywords

Banach algebradynamical systemidealcrossed productmaximal Abelian subalgebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Crossed product algebras (analytic crossed products) (47L65)

Related Items (12)

Commuting Operators for Representations of Commutation Relations Defined by Dynamical Systems ⋮ Commutants in crossed products for piecewise constant function algebras related to multiresolution analysis ⋮ Representations of polynomial covariance type commutation relations by linear integral operators on \(L_p\) over measure spaces ⋮ On the Banach \(^{\ast}\)-algebra crossed product 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 ⋮ Crossed Product Algebras for Piece-Wise Constant Functions ⋮ Commutants in Crossed Product Algebras for Piece-Wise Constant Functions ⋮ SKEW CATEGORY ALGEBRAS ASSOCIATED WITH PARTIALLY DEFINED DYNAMICAL SYSTEMS ⋮ MAXIMAL COMMUTATIVE SUBRINGS AND SIMPLICITY OF ORE EXTENSIONS ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations

Cites Work

• On the commutant of \(C(X)\) in \(C^*\)-crossed products by \(\mathbb Z\) and their representations
• Hulls and kernels from topological dynamical systems and their applications to homeomorphism \(C^*\)-algebras
• Simplicity of C^* -Algebras of Minimal Dynamical Systems
• DYNAMICAL SYSTEMS AND COMMUTANTS IN CROSSED PRODUCTS
• \(C^*\)-algebras by example
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