36 citations · 95 across the 9 of their papers we have counts for
10 papers
Cartan subalgebras in dimension drop algebras
Selçuk Barlak, Sven Raum
We completely classify Cartan subalgebras of dimension drop algebras with coprime parameters. More generally, we classify Cartan subalgebras of arbitrary stabilised dimension drop…
Approaching the UCT problem via crossed products of the Razak-Jacelon algebra
Selçuk Barlak, Gábor Szabó
We show that the UCT problem for separable, nuclear -algebras relies only on whether the UCT holds for crossed products of certain finite cyclic group actions on the R…
On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras
Selçuk Barlak, Gábor Szabó
We show that an outer action of a finite abelian group on a simple Cuntz-Krieger algebra is strongly approximately inner in the sense of Izumi if the action is given by diagonal qu…
Endomorphisms of the Cuntz Algebras and the Thompson Groups
Selçuk Barlak, Jeong Hee Hong, Wojciech Szymanski
We investigate the relationship between endomorphisms of the Cuntz algebra and endomorphisms of the Thompson groups , and represented inside the unitary…
The spatial Rokhlin property for actions of compact quantum groups
Selçuk Barlak, Gábor Szabó, Christian Voigt
We introduce the spatial Rokhlin property for actions of coexact compact quantum groups on -algebras, generalizing the Rokhlin property for both actions of classical…
Sequentially split -homomorphisms between -algebras
Selçuk Barlak, Gábor Szabó
We define and examine sequentially split -homomorphisms between -algebras and -dynamical systems. For a -homomorphism, the property of being seque…
On the spectral sequence associated with the Baum-Connes Conjecture for
Selcuk Barlak
We examine a spectral sequence that is naturally associated with the Baum-Connes Conjecture with coefficients for and also constitutes an instance of Kasparov's const…
Rokhlin actions of finite groups on UHF-absorbing C*-algebras
Selcuk Barlak, Gabor Szabo
This paper serves as a source of examples of Rokhlin actions or locally representable actions of finite groups on C*-algebras satisfying a certain UHF-absorption condition. We show…
The Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg algebras
Selcuk Barlak, Dominic Enders, Hiroku Matui +2
We investigate symmetries on unital Kirchberg algebras with respect to the Rokhlin property and finite Rokhlin dimension. In stark contrast to the restrictiveness of the Rokhlin pr…
The -theory of the Compact Quantum Group for
Selcuk Barlak
We determine the -theory of the -algebra and describe its spectrum. Moreover, we exhibit a continuous -bundle over whose fibre at is i…