3 papers
math.OA2026
A Baum-Connes assembly map for essential semigroup crossed products
Diego Martínez
We construct an equivariant E-theory and a Baum-Connes assembly map at the level of Fell bundles of inverse semigroups over separable C*-algebras. This generalizes previous work of…
math.OA2020
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…
math-ph2018
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…