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19972026
most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing math.OAShow all

21 papers · 1 filter

math.OA2021★ 3 cited

Ideal structure and pure infiniteness of inverse semigroup crossed products

B. K. Kwaśniewski, R. Meyer

Let be a -inclusion. We give efficient conditions under which separates ideals in , and is purely infinite if every positive element in is proper…

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.OA2018★ 11 cited

Stone duality and quasi-orbit spaces for generalised C*-inclusions

B. K. Kwaśniewski, R. Meyer

Let and be -algebras with . Exploiting the duality between sober spaces and spatial locales, and the adjunction between restriction and induction for…

math.OA2018★ 3 cited

Topological freeness for -correspondences

T. M. Carlsen, B. K. Kwasniewski, E. Ortega

We study conditions that ensure uniqueness theorems of Cuntz-Krieger type for relative Cuntz-Pimsner algebras associated to a -correspondence over a $C^…

math.OA2017★ 14 cited

Nica-Toeplitz algebras associated with product systems over right LCM semigroups

Bartosz K. Kwasniewski, Nadia S. Larsen

We prove uniqueness of representations of Nica-Toeplitz algebras associated to product systems of -correspondences over right LCM semigroups by applying our previous abstract…

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.OA2015★ 9 cited

Pure infiniteness and ideal structure of -algebras associated to Fell bundles

B. K. Kwaśniewski, W. Szymański

We investigate structural properties of the reduced cross-sectional algebra of a Fell bundle over a discrete group . Conditions allowing one t…

math.OA2014★ 11 cited

Crossed products by endomorphisms of -algebras

B. K. Kwasniewski

In the first part of the paper, we develop a theory of crossed products of a -algebra by an arbitrary (not necessarily extendible) endomorphism . We consider rel…

math.OA2014★ 5 cited

Quantum automorphism groups of finite quantum groups are classical

Paweł Kasprzak, Piotr M. Sołtan, Stanisław L. Woronowicz

In a recent paper of Bhowmick, Skalski and Sołtan the notion of a quantum group of automorphisms of a finite quantum group was introduced and, for a given finite quantum group G, e…

math.OA2014★ 3 cited

Ideal structure of crossed products by endomorphisms via reversible extensions of -dynamical systems

B. K. Kwasniewski

We consider an extendible endomorphism of a -algebra . We associate to it a canonical -dynamical system that extends and is `reversible' in the sen…

math.OA2013★ 14 cited

Topological aperiodicity for product systems over semigroups of Ore type

B. K. Kwasniewski, W. Szymanski

We prove a version of uniqueness theorem for Cuntz-Pimsner algebras of discrete product systems over semigroups of Ore type. To this end, we introduce Doplicher-Roberts picture of…

math.OA2013★ 26 cited

Quantum group-twisted tensor products of C*-algebras

Ralf Meyer, Sutanu Roy, Stanislaw Lech Woronowicz

We put two C*-algebras together in a noncommutative tensor product using quantum group coactions on them and a bicharacter relating the two quantum groups that act. We describe thi…

math.OA2013★ 6 cited

Crossed products for interactions and graph algebras

B. K. Kwaśniewski

We consider Exel's interaction over a unital -algebra , such that and are hereditary subalgebras of . For the associated crossed product, we obtain…

math.OA2012★ 7 cited

Topological freeness for Hilbert bimodules

B. K. Kwasniewski

It is shown that topological freeness of Rieffel's induced representation functor implies that any -algebra generated by a faithful covariant representation of a Hilbert bimod…

math.OA2012★ 18 cited

Crossed products by endomorphisms and reduction of relations in relative Cuntz-Pimsner algebras

B. K. Kwasniewski, A. V. Lebedev

Starting from an arbitrary endomorphism αof a unital C*-algebra A we construct a crossed product. It is shown that the natural construction depends not only on the C*-dynamical sys…

math.OA2009★ 1 cited

C*-algebras generalizing both relative Cuntz-Pimsner and Doplicher-Roberts algebras

B. K. Kwaśniewski

We introduce and analyse the structure of C*-algebras arising from ideals in right tensor C*-precategories, which naturally generalize both relative Cuntz-Pimsner and Doplicher-Rob…

math.OA2007★ 1 cited

Extensions of C*-dynamical systems to systems with complete transfer operators

B. K. Kwaśniewski

Starting from an arbitrary endomorphism of a unital C*-algebra we construct a bigger C*-algebra and extend onto in such a way that the extended endomorphism …

math.OA2006

Crossed product of a C*-algebra by a semigroup of bounded positive linear maps. Interactions

B. K. Kwasniewski

The paper presents a construction of the crossed product of a C*-algebra by a commutative semigroup of bounded positive linear maps generated by partial isometries. In particular,…

math.OA2005★ 11 cited

Crossed product of a C*-algebra by a semigroup of endomorphisms generated by partial isometries

B. K. Kwasniewski, A. V. Lebedev

The paper presents a construction of the crossed product of a C*-algebra by a semigroup of endomorphisms generated by partial isometries.

math.OA2005★ 8 cited

Crossed product of a C*-algebra by an endomorphism, coefficient algebras and transfer operators

A. B. Antonevich, V. I. Bakhtin, A. V. Lebedev

The paper presents a construction of the crossed product of a C*-algebra by an endomorphism generated by partial isometry

math.OA2002★ 1 cited

On the structure of Banach algebras associated with automorphisms

A. Lebedev

In the present paper we study the structure of a Banach algebra B(A, T_g) generated by a certain Banach algebra of operators acting in a Banach space D and a group {T_g}_{g \in…