Abstract.
We present a simple unified proof of the classification of discrete amenable group actions on injective factors. Our argument does not depend on the types of factors, and is based on the technique of Evans and Kishimoto.
Received: 2010-07-27
Revised: 2011-11-15
Published Online: 2012-03-10
Published in Print: 2013-10-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Unified approach to the classification of actions of discrete amenable groups on injective factors
- Isoperimetric control of the spectrum of a compact hypersurface
- Weighted divisor sums and Bessel function series. III
- Quasilinear parabolic equations and the Ricci flow on manifolds with boundary
- On the noncommutative Bondal–Orlov conjecture
- Cohomogeneity one actions on symmetric spaces of noncompact type
- Isoparametric functions and exotic spheres
- The rationality of the moduli spaces of trigonal curves of odd genus
- On Nichols algebras of diagonal type
Articles in the same Issue
- Masthead
- Unified approach to the classification of actions of discrete amenable groups on injective factors
- Isoperimetric control of the spectrum of a compact hypersurface
- Weighted divisor sums and Bessel function series. III
- Quasilinear parabolic equations and the Ricci flow on manifolds with boundary
- On the noncommutative Bondal–Orlov conjecture
- Cohomogeneity one actions on symmetric spaces of noncompact type
- Isoparametric functions and exotic spheres
- The rationality of the moduli spaces of trigonal curves of odd genus
- On Nichols algebras of diagonal type