36 citations · 142 across the 19 of their papers we have counts for
19 papers
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…
Spectral preorder and perturbations of discrete weighted graphs
John Stewart Fabila-Carrasco, Fernando Lledó, Olaf Post
In this article, we introduce a geometric and a spectral preorder relation on the class of weighted graphs with a magnetic potential. The first preorder is expressed through the ex…
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…
Notions of Infinity in Quantum Physics
Fernando Lledó, Diego Martínez
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 cl…
Spectral gaps and discrete magnetic Laplacians
John Stewart Fabila-Carrasco, Fernando Lledó, Olaf Post
The aim of this article is to give a simple geometric condition that guarantees the existence of spectral gaps of the discrete Laplacian on periodic graphs. For proving this, we an…