In this article we analyze the notions of amenability and paradoxical decomposition from an
algebraic perspective. We consider this dichotomy for locally finite extended metric spaces …

Amenability for groups can be extended to metric spaces, algebras over commutative fields
and C⁎-algebras by adapting the notion of Følner nets. In the present article we investigate …

We analyze the dichotomy amenable/paradoxical in the context of (discrete, countable,
unital) semigroups and corresponding semigroup rings. We consider also Følner type …

The present article is a review of recent developments concerning the notion of Følner
sequences both in operator theory and operator algebras. We also give a new direct proof …

This article analyzes Følner sequences of projections for bounded linear operators and their
relationship to the class of finite operators introduced by Williams in the 70s. We prove that …

In this article we show that the main C*-algebras describing the canonical commutation
relations of quantum physics, ie, the Weyl and resolvent algebras, are in the class of Følner …

In this article we will review some notions of infiniteness that appear in Hilbert space
operators and operator algebras. These include proper infiniteness, Murray von Neumann's …

It would be utterly inadequate to start this thesis by claiming it studies some deep
connections between inverse semigroup actions, C*-algebras and metric spaces. On the …

We analyze the dichotomy amenable/paradoxical in the context of (discrete, countable,
unital) semigroups and corresponding semigroup rings. We consider also Følner's type …

We compute the universal minimal flow of the automorphism groups of certain operator
spaces and systems. The commutative examples are the Gurarij space and the Poulsen …