AbstractThe purpose of this paper is to generalize the concepts of amenability for locally compact groups and inner amenability for discrete groups by considering the existence of inner invariant means. Based on this generalization, locally compact groups can be classified as so called [IA] groups or non-[IA] groups. A number of equivalent conditions characterizing [IA] groups are given. Also the possibility of inner invariant extension of the Dirac measure δe is discussed
The Ghahramani-Lau conjecture is established; in other words, the measure algebra of every locally c...
We start this thesis by introducing the theory of locally compact groups and their associated Haar m...
Inner amenability is a bridge between amenability of an object and amenability of its operator algeb...
Abstract. A discrete group G is called inner amenable if there exists a mean m on l∞(G) such that m(...
summary:Let $G$ be a locally compact group. We continue our work [A. Ghaffari: $\Gamma $-amenabili...
This thesis deals with two separate questions in the area of invariant means on locally compact grou...
Abstract. We study actions of countable discrete groups which are amenable in the sense that there e...
For a locally compact group G, we prove that a topological inner invariant mean on LUC(G) has an ext...
AbstractBanach showed in 1923 that Lebesgue measure is not the unique rotation invariant finitely ad...
AbstractFor locally compact groups G, the author introduced a notion of [IA] groups, if there exists...
The study of invariant means on spaces of functions associated with a group or semigroup has been th...
Abstract: Let.A denote the left regular representation of a locally compact group G on L 2(G) and C*...
We here consider inner amenability from a geometric and group theoretical perspective. We prove that...
AbstractIt is proved in this paper that assuming the continuum hypothesis, there exists an amenable ...
We give examples of (i) a simple theory with a formula (with parameters) which does not fork over t...
The Ghahramani-Lau conjecture is established; in other words, the measure algebra of every locally c...
We start this thesis by introducing the theory of locally compact groups and their associated Haar m...
Inner amenability is a bridge between amenability of an object and amenability of its operator algeb...
Abstract. A discrete group G is called inner amenable if there exists a mean m on l∞(G) such that m(...
summary:Let $G$ be a locally compact group. We continue our work [A. Ghaffari: $\Gamma $-amenabili...
This thesis deals with two separate questions in the area of invariant means on locally compact grou...
Abstract. We study actions of countable discrete groups which are amenable in the sense that there e...
For a locally compact group G, we prove that a topological inner invariant mean on LUC(G) has an ext...
AbstractBanach showed in 1923 that Lebesgue measure is not the unique rotation invariant finitely ad...
AbstractFor locally compact groups G, the author introduced a notion of [IA] groups, if there exists...
The study of invariant means on spaces of functions associated with a group or semigroup has been th...
Abstract: Let.A denote the left regular representation of a locally compact group G on L 2(G) and C*...
We here consider inner amenability from a geometric and group theoretical perspective. We prove that...
AbstractIt is proved in this paper that assuming the continuum hypothesis, there exists an amenable ...
We give examples of (i) a simple theory with a formula (with parameters) which does not fork over t...
The Ghahramani-Lau conjecture is established; in other words, the measure algebra of every locally c...
We start this thesis by introducing the theory of locally compact groups and their associated Haar m...
Inner amenability is a bridge between amenability of an object and amenability of its operator algeb...
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