activity
20072025
most citedAperiodicity, topological freeness and pure outerness: from group actions to Fell bundles

16 citations · 40 across the 9 of their papers we have counts for

collaborators

11 papers

math.OA2025

Twisted operator algebras of self-similar groupoid actions on arbitrary graphs

B. K. Kwaśniewski, A. Mundey

We study self-similar groupoid actions on arbitrary directed graphs together with -valued twists that exhaust the second cohomology group of the associated Zappa-Szép p…

math.OA2025

Type semigroups for twisted groupoids and a dichotomy for groupoid C*-algebras

Bartosz K. Kwaśniewski, Ralf Meyer, Akshara Prasad

We develop a theory of type semigroups for arbitrary twisted, not necessarily Hausdorff étale groupoids. The type semigroup is a dynamical version of the Cuntz semigroup. We relate…

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.OA2024

Fourier--Stieltjes category for twisted groupoid actions

Alcides Buss, Bartosz Kwaśniewski, Andrew McKee +1

We extend the theory of Fourier--Stieltjes algebras to the category of twisted actions by étale groupoids on arbitrary C*-bundles, generalizing theories constructed previously by B…

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…

math.OA2020★ 13 cited

Aperiodicity: the almost extension property and uniqueness of pseudo-expectations

Bartosz Kosma Kwaśniewski, Ralf Meyer

We prove implications among the conditions in the title for an inclusion of a C*-algebra A in a C*-algebra B, and we also relate this to several other properties in case B is a cro…

math.OA2020

The Haagerup property for twisted groupoid dynamical systems

Bartosz Kwaśniewski, Kang Li, Adam Skalski

We introduce the Haagerup property for twisted groupoid -dynamical systems in terms of naturally defined positive-definite operator-valued multipliers. By developing a version…

math.OA2016

Nica-Toeplitz algebras associated with right tensor -precategories over right LCM semigroups

Bartosz K. Kwaśniewski, Nadia S. Larsen

We introduce and analyze the full and the reduced Nica-Toeplitz algebra associated to an ideal…

math.OA2016★ 16 cited

Aperiodicity, topological freeness and pure outerness: from group actions to Fell bundles

Bartosz K. Kwaśniewski, Ralf Meyer

We generalise various non-triviality conditions for group actions to Fell bundles over discrete groups and prove several implications between them. We also study sufficient criteri…

math.OA2007★ 2 cited

On transfer operators for C*-dynamical systems

B. K. Kwaśniewski

The theme of the paper is the question of existence and basic structure of transfer operators for endomorphisms of a unital C*-algebra. We establish a complete description of non-d…