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math.FA2024
Banach algebras associated to twisted étale groupoids: simplicity and pure infiniteness
Krzysztof Bardadyn, Bartosz Kwaśniewski, Andrew McKee
We define reduced and essential Banach algebras associated to a twisted étale (not necessarily Hausdorff) groupoid and extend some fundamental results f…
math.FA2023★ 6 cited
Topologically free actions and ideals in twisted Banach algebra crossed products
K. Bardadyn, B. K. Kwaśniewski
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…
math.FA2023★ 3 cited
Banach algebras associated to twisted étale groupoids: inverse semigroup disintegration and representations on -spaces
Krzysztof Bardadyn, Bartosz K. Kwaśniewski, Andrew McKee
We introduce Banach algebras associated to twisted étale groupoids and to twisted inverse semigroup actions. This provides a unifying framework for nume…