搜索结果: 1-12 共查到“数学 amenability”相关记录12条 . 查询时间(0.106 秒)
AMENABILITY AND RAMSEY THEORY
RAMSEY THEORY
2015/8/17
The purpose of this article is to connect the notion of the amenability of a discrete group with a new form of structural Ramsey theory. The Ramsey theoretic reformulation of amenability constitutes a...
Amenability, locally finite spaces, and bi-lipschitz embeddings
amenability isoperimetric constant embeddings into Hilbert spaces
2012/5/24
We define the isoperimetric constant for any locally finite metric space and we study the property of having isoperimetric constant equal to zero. This property, called Small Neighborhood property, cl...
A characterization of amenability of group actions on $C^\ast$-algebras
characterization amenability group actions $C^\ast$-algebras
2012/4/16
We show that coincidence of the full and reduced crossed product $C^\ast$-algebras of a group action on a unital commutative $C^\ast$-algebra implies amenability of the action whenever the group is ex...
Hyperfiniteness or amenability of measurable equivalence relations and group actions has been studied for almost fifty years. Recently, unexpected applications of hyperfiniteness were found in compute...
Generic representations of abelian groups and extreme amenability
Unitary representations measure-preserving actions Urysohn space extremely amenable group Polish group Baire category
2011/8/31
Abstract: If $G$ is a Polish group and $\Gamma$ is a countable group, denote by $\Hom(\Gamma, G)$ the space of all homomorphisms $\Gamma \to G$. We study properties of the group $\cl{\pi(\Gamma)}$ for...
Perturbations of Banach algebras and amenability
Perturbations of Banach algebras amenability
2011/1/19
In this paper we prove that if (A, π) is an amenable Banach algebra and if ρ is another Banach algebra multiplication on A such that kρ−πk < 1 11 , then (A, ρ) is also amenable.
Notes on amenability
Notes amenability
2011/1/19
We show that for a Banach algebra A with a bounded approximate identity, the amenability of Ab⊗A, the amenability of Ab⊗Aop and the amenability of A are equivalent. Also if A is a closed i...
Arens regularity of module actions and weak amenability of Banach algebras
Arens regularity weak amenability of Banach algebras
2010/11/9
For Banach left and right module actions, we will establish the relationships between topological centers of module actions with some result in the weak amenability of Banach algebras.
A Generalization of the Weak Amenability of some Banach Algebra
Generalization Banach Algebra
2010/11/9
Let $A$ be a Banach algebra and $A^{**}$ be the second dual of it. We show that by some new conditions, $A$ is weakly amenable whenever $A^{**}$ is weakly amenable. We will study this problem under g...
Arens Regularity of Tensor Products and Weak Amenability of Banach Algebras
Arens Regularity of Tensor Products Weak Amenability of Banach Algebras
2010/11/9
In this note, we study the Arens regularity of projective tensor product $A\hat{\otimes}B$ whenever $A$ and $B$ are Arens regular. We establish some new conditions for showing that the Banach algebra...
Coarse non-amenability and covers with small eigenvalues
Amenability coarse embeddings expander graphs graph coverings
2010/12/3
Given a closed Riemannian manifold M and a (virtual) epimorphism π1(M) ։ F2 of the fundamental group onto a free group of rank 2, we construct a tower of finite sheeted regular
covers {Mn}1 n=0...
Beurling-Fourier algebras, operator amenability and Arens regularity
locally compact groups Beurling algebras Beurling-Fourier algebras operator amenability operator weak amenability
2010/11/26
We introduce the class of Beurling-Fourier algebras on locally compact groups and show that they are non-commutative analogs of classical Beurling algebras.