Means and Følner condition on locally compact groups
A. Hulanicki (1966)
Studia Mathematica
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A. Hulanicki (1966)
Studia Mathematica
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A. Hulanicki (1971)
Studia Mathematica
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Marek Bożejko (1981)
Studia Mathematica
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N. I. Kryuchkov (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Detlev Poguntke (1996)
Colloquium Mathematicae
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Janusz Dronka, Bronislaw Wajnryb, Paweł Witowicz, Kamil Orzechowski (2017)
Open Mathematics
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We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case. We also compute a growth function for some non-abelian uniformly amenable group.
Michael Barr (1977)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Abels, Herbert (1999)
Journal of Lie Theory
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Kirchberg, Eberhard, Wassermann, Simon (1999)
Documenta Mathematica
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A. Lau, R. Loy, G. Willis (1996)
Studia Mathematica
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Several results are given about the amenability of certain algebras defined by locally compact groups. The algebras include the C*-algebras and von Neumann algebras determined by the representation theory of the group, the Fourier algebra A(G), and various subalgebras of these.
Jacek Cygan (1974)
Studia Mathematica
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Jesper M. Møller (2007)
Fundamenta Mathematicae
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This is the first part of a paper that classifies 2-compact groups. In this first part we formulate a general classification scheme for 2-compact groups in terms of their maximal torus normalizer pairs. We apply this general classification procedure to the simple 2-compact groups of the A-family and show that any simple 2-compact group that is locally isomorphic to PGL(n+1,ℂ) is uniquely N-determined. Thus there are no other 2-compact groups in the A-family than the ones we already know....
Otera, Daniele Ettore, Russo, Francesco G. (2010)
International Journal of Mathematics and Mathematical Sciences
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