The dichotomy amenable/paradoxical in inverse semigroups and their uniform Roe algebras

08.06. bis 08.06.2023, 13:00 - 14:00  –  2.22
Forschungsseminar: Gruppen und Operatoralgebren

Fernando Lledo (University Carlos III de Madrid)

In the present talk I will briefly review certain aspects of the dichotomy amenable/paradoxical in the category of metric spaces and inverse semigroups. Then I will address the question of defining a reasonable metric structure on a discrete inverse semigroup and study the properties of its uniform Roe algebra like Foelner type conditions, nuclearity or exactness.