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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.OA2026
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…
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…