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Classification of Ideals of Homeomorphism C*-Algebras and Quasidiagonality of Their Quotient Algebras

Classification of Ideals of Homeomorphism C*-Algebras and Quasidiagonality of Their Quotient... For the homeomorphism C*-algebra A(Σ) arising from a topological dynamical system Σ=(X,σ) where σ is a homeomorphism on an arbitrary compact Hausdorff space X, we first give detailed classification of its closed ideals into four classes. In case when X is a compact metric space, we then determine the conditions when the quotient algebras of A(Σ) become quasidiagonal. The case of A(Σ) itself was treated by M. Pimsner. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Classification of Ideals of Homeomorphism C*-Algebras and Quasidiagonality of Their Quotient Algebras

Acta Applicandae Mathematicae , Volume 108 (3) – Jun 5, 2009

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Springer Science+Business Media B.V.
Subject
Mathematics; Mechanics; Statistical Physics, Dynamical Systems and Complexity; Theoretical, Mathematical and Computational Physics; Computer Science, general; Mathematics, general
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-009-9507-4
Publisher site
See Article on Publisher Site

Abstract

For the homeomorphism C*-algebra A(Σ) arising from a topological dynamical system Σ=(X,σ) where σ is a homeomorphism on an arbitrary compact Hausdorff space X, we first give detailed classification of its closed ideals into four classes. In case when X is a compact metric space, we then determine the conditions when the quotient algebras of A(Σ) become quasidiagonal. The case of A(Σ) itself was treated by M. Pimsner.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Jun 5, 2009

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