5 citations · 11 across the 8 of their papers we have counts for
8 papers
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…
On the relation between the product of KK-groups and the KK-group of the product
Diego Martínez
We observe that the canonical map \(KK(A, \prod_{n \in \mathbb{N}} B_n) \to \prod_{n \in \mathbb{N}} KK(A,B_n)\) is an isomorphism of abelian groups whenever \(A\) enjoys the Unive…
Quasi-countable inverse semigroups as metric spaces, and the uniform Roe algebras of locally finite inverse semigroups
Yeong Chyuan Chung, Diego Martínez, Nóra Szakács
Given any quasi-countable, in particular any countable inverse semigroup , we introduce a way to equip with a proper and right subinvariant extended metric. This generalizes…
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…
A note on the quasi-diagonality of inverse semigroup reduced C*-algebras
Diego Martínez
In this note we start the study of whether the reduced C*-algebra of an inverse semigroup is quasi-diagonal, making explicit use of the inner structure of this class of semigroups…
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…