3 papers
math.OA2026
A Baum-Connes assembly map for essential semigroup crossed products
Diego MartÃnez
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 MartÃnez
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.OA2024
Quasi-countable inverse semigroups as metric spaces, and the uniform Roe algebras of locally finite inverse semigroups
Yeong Chyuan Chung, Diego MartÃnez, 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…