K. Bardadyn

activity

20192026

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5 papers · 1 filter

math.FA2026

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…

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 $(G, L)$ and extend some fundamental results f…

math.FA2023

$L^{p}$ -Cuntz algebras and spectrum of weighted composition operators

Krzysztof Bardadyn

Let $p \in [1, \infty)$ . We define an $L^{p}$ -operator algebra crossed product by a transfer operator for the topological Bernoulli shift $φ$ on $X = {1, ..., n}^{N}$ , and we pr…

math.FA2023

Topologically free actions and ideals in twisted Banach algebra crossed products

K. Bardadyn, B. K. Kwaśniewski

We generalize the influential $C^{*}$ -algebraic result of Kawamura-Tomiyama and Archbold-Spielberg for crossed products of discrete transformation groups to the realm of Banach algeb…

math.FA2019

Spectrum of weighted isometries: C*-algebras, transfer operators and topological pressure

K. Bardadyn, B. Kwaśniewski

We study the spectrum of operators $a T \in B (H)$ on a Hilbert space $H$ where $T$ is an isometry and $a$ belongs to a commutative $C^{*}$ -subalgebra $C (X) ≅ A \subseteq B (H)$ such t…