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- Title
Classification of Ideals of Homeomorphism C*-Algebras and Quasidiagonality of Their Quotient Algebras.
- Authors
Tomiyama, Jun
- 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.
- Subjects
CLASSIFICATION theory of algebraic varieties; HOMEOMORPHISMS; C*-algebras; IDEALS (Algebra); TOPOLOGICAL graph theory; HAUSDORFF measures; METRIC spaces
- Publication
Acta Applicandae Mathematicae, 2009, Vol 108, Issue 3, p561
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-009-9507-4