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- Title
Characterizations of topological dynamical systems whose transformation group C*-algebras are antiliminal and of type 1.
- Authors
Aoki, Nobuo; Tomiyama, Jun
- Abstract
For a topological dynamical system Σ = (X, σ) where X is a compact metric space with a single homeomorphism σ, we determine the largest postliminal ideal of the transformation group C*-algebra A(Σ) as the intersection of all kernels of irreducible representations of A(Σ) induced from those recurrent points which are not periodic. The result implies characterizations of topological dynamical systems whose transformation group C*-algebras are anti-liminal and post-liminal, that is, of type 1.
- Publication
Ergodic Theory & Dynamical Systems, 1993, Vol 13, Issue 1, p1
- ISSN
0143-3857
- Publication type
Article
- DOI
10.1017/S0143385700007161