4 papers · 1 filter
Banach algebra crossed products by inverse semigroup actions
K. Bardadyn, B. K. KwaÅniewski
We give a self-contained and simplified presentation of the theory of covariant representations for inverse semigroup actions on Banach algebras, which was recently introduced in t…
Banach algebras associated to twisted étale groupoids: simplicity and pure infiniteness
Krzysztof Bardadyn, Bartosz KwaÅniewski, Andrew McKee
We define reduced and essential Banach algebras associated to a twisted étale (not necessarily Hausdorff) groupoid and extend some fundamental results…
Banach algebras associated to twisted étale groupoids: inverse semigroup disintegration and representations on -spaces
Krzysztof Bardadyn, Bartosz K. KwaÅniewski, Andrew McKee
We introduce Banach algebras associated to twisted étale groupoids and to twisted inverse semigroup actions. This provides a unifying framework for num…
Topologically free actions and ideals in twisted Banach algebra crossed products
K. Bardadyn, B. K. KwaÅniewski
We generalize the influential -algebraic result of Kawamura-Tomiyama and Archbold-Spielberg for crossed products of discrete transformation groups to the realm of Banach algeb…