A. Bearden

collaborators

3 papers

math.OA2020

A weak expectation property for operator modules, injectivity and amenable actions

Alex Bearden, Jason Crann

We introduce an equivariant version of the weak expectation property (WEP) at the level of operator modules over completely contractive Banach algebras $A$ . We prove a number of ge…

math.OA2020

Amenable dynamical systems over locally compact groups

Alex Bearden, Jason Crann

We establish several new characterizations of amenable $W^{*}$ - and $C^{*}$ -dynamical systems over arbitrary locally compact groups. In the $W^{*}$ -setting we show that amenability is eq…

math.OA2019

Topological boundaries of unitary representations

Alex Bearden, Mehrdad Kalantar

We introduce and study a generalization of the notion of the Furstenberg boundary of a discrete group $Γ$ to the setting of a general unitary representation $π: Γ\to B(\mathcal H_π…