18 citations · 138 across the 23 of their papers we have counts for
19 papers · 1 filter
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…
Noncommutative Cartan C*-subalgebras
B. K. Kwasniewski, R. Meyer
We characterise Exel's noncommutative Cartan subalgebras in several ways using uniqueness of conditional expectations, relative commutants, or purely outer inverse semigroup action…
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…
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…
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…
Exel's crossed product and crossed products by completely positive maps
B. K. Kwaśniewski
We introduce crossed products of a -algebra by a completely positive map relative to an ideal in . They generalize various crossed products by endomorp…
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…
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…
Uniqueness property for -algebras given by relations with circular symmetry
B. K. Kwasniewski
A general method of investigation of the uniqueness property for -algebra equipped with a circle gauge action is discussed. It unifies isomorphism theorems for various crossed…
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…
Cuntz-Krieger uniqueness theorem for crossed products by Hilbert bimodules
B. K. Kwasniewski
It is shown that a C*-algebra generated by any faithful covariant representation of a Hilbert bimodule X is canonically isomorphic to the crossed product associated to X provided t…
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…
Relative Cuntz-Pimsner Algebras, Partial Isometric Crossed Products and Reduction of Relations
B. K. Kwasniewski, A. V. Lebedev
The article discusses the interrelation between relative Cuntz-Pimsner algebras and partial isometric crossed products, and presents a procedure that reduces any given Hilbert bimo…
Crossed product by an arbitrary endomorphism
B. K. Kwasniewski, A. V. Lebedev
Starting from an arbitrary endomorphism δof 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…
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 …
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,…
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.
Covariance algebra of a partial dynamical system
B. K. Kwasniewski
Partial dynamical systems (X,alpha) arise naturally when dealing with commutative C*-dynamical system (A,delta). We associate with every pair (X,alpha), or (A,delta), a covariance…
Maximal ideal space of a commutative coefficient algebra
B. K. Kwasniewski, A. V. Lebedev
The basic notion of the article is a pair (A,U), where A is a commutative C*-algebra and U is a partial isometry such that mapping U()U* is an endomorphism of A and U*U belongs to…