6 citations · 9 across the 7 of their papers we have counts for
7 papers
Banach algebra crossed products by inverse semigroup actions
K. Bardadyn, B. K. Kwaśniewski
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 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…
-Cuntz algebras and spectrum of weighted composition operators
Krzysztof Bardadyn
Let . We define an -operator algebra crossed product by a transfer operator for the topological Bernoulli shift on , and we pr…
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…
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…
On -algebras associated to transfer operators for countable-to-one maps
K. Bardadyn, B. K. Kwasniewski, A. V. Lebedev
Our initial data is a transfer operator for a continuous, countable-to-one map defined on an open subset of a locally compact Hausdorff space . Then may be id…
Spectrum of weighted isometries: C*-algebras, transfer operators and topological pressure
K. Bardadyn, B. Kwaśniewski
We study the spectrum of operators on a Hilbert space where is an isometry and belongs to a commutative -subalgebra such t…