منابع مشابه
0 Examples of amenable Kac system
By giving an interesting characterisation of amenable multiplicative unitaries, we show in a simple way that bicrossproducts of amenable locally compact groups is both amenable and coamenable. Amenability of Kac algebras has been studied in [3]. In [1], amenability of regular multiplicative unitaries was also defined. Recently, we studied in [7] and [9] amenable Hopf C *-algebras and amenable K...
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We show the uniqueness of minimal actions of a compact Kac algebra with the amenable dual on the AFD factor of type II1. This particularly implies the uniqueness of minimal actions of a compact group. Our main tools are a Rohlin type theorem, the 2-cohomology vanishing theorem, and the Evans-Kishimoto type intertwining argument.
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The piecewise-linear approximation technique developed by Julián et al. in the past few years is applied to dynamical systems dependent on given numbers of state variables and parameters. Referring to a particular example, i.e., the two-dimensional Bautin equation, it is shown that an accurately approximated dynamical system preserves both the dynamical (trajectories) and the structural-stabili...
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We give an example of an amenable, radical Banach algebra, relying on results from non-abelian harmonic analysis due to H. Leptin, D. Poguntke and J. Boidol. Let A be a Banach algebra, and let E be a Banach A-module. A bounded linear map D : A → E is called a a derivation if D(ab) = a.Db+ (Da).b (a, b ∈ A). A derivation D : A → E is said to be inner if Da = x.a− a.x (a ∈ A) for some x ∈ E. For ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06482-1