14 citations · 22 across the 11 of their papers we have counts for
14 papers
A quantum twistor bundle
Sophie Emma Zegers
We investigate a quantum twistor bundle constructed as a -quotient of the quantum instanton bundle of Bonechi, Ciccoli and Tarlini. It is an example of a noncommutative bundl…
On Conjugacy of Subalgebras in Graph -Algebras. II
Tomohiro Hayashi, Jeong Hee Hong, Wojciech Szymański
We apply a method inspired by Popa's intertwining-by-bimodules technique to investigate inner conjugacy of MASAs in graph -algebras. First we give a new proof of non-inner con…
The Quantum Twistor Bundle
Sophie Emma Zegers, Wojciech Szymański
We investigate the quantum twistor bundle constructed as a -quotient of the quantum instanton bundle of Bonechi, Ciccoli and Tarlini. It is an example of a locally trivial no…
On Conjugacy of Subalgebras of Graph C*-Algebras
Tomohiro Hayashi, Jeong Hee Hong, Sophie Emma Zegers +1
The problem of inner vs outer conjugacy of subalgebras of certain graph C*-algebras is investigated. For a large class of finite graphs E, we show that whenever is a vertex-fix…
An algebraic framework for noncommutative bundles with homogeneous fibres
Tomasz Brzeziński, Wojciech Szymański
An algebraic framework for noncommutative bundles with (quantum) homogeneous fibres is proposed. The framework relies on the use of principal coalgebra extensions which play the ro…
The Quantum Flag Manifold as an Example of a Noncommutative Sphere Bundle
Tomasz Brzeziński, Wojciech Szymański
The quantum flag manifold is interpreted as a noncommutative bundle over the quantum complex projective plane with the quantum or Podleś sphere as a fibre.…
On the quantum flag manifold
Tomasz Brzeziński, Wojciech Szymański
The structure of the -algebra of functions on the quantum flag manifold is investigated. Building on the representation theory of , we analy…
The Polynomial Endomorphisms of Graph Algebras
Rune Johansen, Adam P. W. Sørensen, Wojciech Szymański
We investigate polynomial endomorphisms of graph -algebras and Leavitt path algebras. To this end, we define and analyze the coding graph corresponding to each such an endomor…
The -algebras of quantum lens and weighted projective spaces
Tomasz Brzeziński, Wojciech Szymański
It is shown that the algebra of continuous functions on the quantum -dimensional lens space is a graph -algebra, for arbitrary positi…
On Normalizers of -Subalgebras in the Cuntz Algebra . II
Tomohiro Hayashi, Wojciech Szymanski
We investigate subalgebras of the Cuntz algebra that arise as finite direct sums of corners of the UHF-subalgebra . For such an , we complet…
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…
KMS states on Nica-Toeplitz algebras of product systems
Jeong Hee Hong, Nadia S. Larsen, Wojciech Szymański
We investigate KMS states of Fowler's Nica-Toeplitz algebra associated to a compactly aligned product system over a semigroup of Hilbert bimodules. This a…
On normalizers of -subalgebras in the Cuntz algebra
Tomohiro Hayashi
In this paper we investigate the normalizer of a -subalgebra where is the canonical UHF-subal…
-algebras associated to -correspondences and applications to mirror quantum spheres
David Robertson, Wojciech Szymański
The structure of the -algebras corresponding to even-dimensional mirror quantum spheres is investigated. It is shown that they are isomorphic to both Cuntz-Pimsner algebras of…