Ergodic theory of amenable semigroup actions

Ergodic Theoretic Characterization of Left Amenable Lau Algebras

Amenable Ergodic Actions , Hyperfinite Factors , and Poincaré Flows

1. Introduction. In this paper we announce the introduction of a new notion of amenability for ergodic group actions and ergodic equivalence relations. Amenable ergodic actions occupy a position in ergodic theory parallel to that of amenable groups in group theory and one can therefore expect this notion to be useful in diverse circumstances. Here we announce applications to hyperfinite factor ...

Amenable actions and applications

We will give a brief account of (topological) amenable actions and exactness for countable discrete groups. The class of exact groups contains most of the familiar groups and yet is manageable enough to provide interesting applications in geometric topology, von Neumann algebras and ergodic theory. Mathematics Subject Classification (2000). Primary 46L35; Secondary 20F65, 37A20, 43A07.

An iterative method for amenable semigroup and infinite family of non expansive mappings in Hilbert spaces

begin{abstract} In this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. The results present...

First Order Cohomology of l^1-Munn Algebras and Certain Semigroup Algebras