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-actions on UHF algebras of infinite type
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April 14, 2011
Abstract
We prove that all strongly outer 
-actions on a UHF algebra of infinite type are strongly cocycle conjugate to each other. We also prove that all strongly outer, asymptotically representable -actions on a unital simple AH algebra with real rank zero, slow dimension growth and finitely many extremal tracial states are cocycle conjugate to each other.
Received: 2010-04-20
Published Online: 2011-04-14
Published in Print: 2011-August
© Walter de Gruyter Berlin · New York 2011
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- -actions on UHF algebras of infinite type
Articles in the same Issue
- Coefficients and non-triviality of the Jones polynomial
- Distribution of algebraic numbers
- Some local-global non-vanishing results of theta lifts for symplectic-orthogonal dual pairs
- Characterizing quaternion rings over an arbitrary base
- Transcendence in positive characteristic and special values of hypergeometric functions
- Factoring 3-fold flips and divisorial contractions to curves
- Existence of permanent and breaking waves for the periodic Degasperis–Procesi equation with linear dispersion
- -actions on UHF algebras of infinite type
