36 citations · 142 across the 19 of their papers we have counts for
12 papers · 1 filter
A note on commutation relations and finite dimensional approximations
Fernando Lledó, Diego Martínez
In this article we show that the main C*-algebras describing the canonical commutation relations of quantum physics, i.e., the Weyl and resolvent algebras, are in the class of Føln…
The uniform Roe algebra of an inverse semigroup
Fernando Lledó, Diego Martínez
Given a discrete and countable inverse semigroup one can study, in analogy to the group case, its geometric aspects. In particular, we can equip with a natural metric, give…
Amenability and paradoxicality in semigroups and C*-algebras
Pere Ara, Fernando Lledó, Diego Martínez
We analyze the dichotomy amenable/paradoxical in the context of (discrete, countable, unital) semigroups and corresponding semigroup rings. We consider also Følner's type character…
Amenability and uniform Roe algebras
Pere Ara, Kang Li, Fernando Lledó +1
Amenability for groups can be extended to metric spaces, algebras over commutative fields and -algebras by adapting the notion of Følner nets. In the present article we invest…
Følner sequences in operator theory and operator algebras
Pere Ara, Fernando Lledó, Dmitry V. Yakubovich
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 that…
F\olner sequences and finite operators
Fernando Lledó, Dmitry V. Yakubovich
This article analyzes F\olner sequences of projections for bounded linear operators and their relationship to the class of finite operators introduced by Williams in the 70ies. We…