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Hulls and kernels from topological dynamical systems and their applications to homeomorphism \(C^*\)-algebras

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Publication:1884799
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DOI10.2969/jmsj/1191418634zbMath1064.46054OpenAlexW1967539497MaRDI QIDQ1884799

Jun Tomiyama

Publication date: 27 October 2004

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1191418634


zbMATH Keywords

orbitsidealsnoncommutative kernels


Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Noncommutative dynamical systems (46L55) Dynamical systems and the theory of (C^*)-algebras (37A55)


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Algebraically irreducible representations and structure space of the Banach algebra associated with a topological dynamical system ⋮ Dynamical systems associated with crossed products ⋮ Classification of ideals of homeomorphism C*-algebras and quasidiagonality of their quotient algebras ⋮ A class of \boldmath{$C^*$}-algebras generalizing both graph algebras and homeomorphism \boldmath{$C^*$}-algebras I, fundamental results ⋮ Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system ⋮ On the commutant of \(C(X)\) in \(C^*\)-crossed products by \(\mathbb Z\) and their representations



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