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20112024
most citedThe Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg algebras

16 citations · 30 across the 8 of their papers we have counts for

collaborators

10 papers

math.OA2024

On the (Local) Lifting Property

Dominic Enders, Tatiana Shulman

The (Local) Lifting Property ((L)LP) is introduced by Kirchberg and deals with lifting completely positive maps. We give a characterization of the (L)LP in terms of lifting -…

math.OA2023

Corrigendum to "K-theoretic characterization of C*-algebras with approximately inner flip"

Dominic Enders, André Schemaitat, Aaron Tikuisis

An error in the original paper is identified and corrected. The C*-algebras with approximately inner flip, which satisfy the UCT, are identified (and turn out to be fewer than what…

math.OA2021

Commutativity of central sequence algebras

Dominic Enders, Tatiana Shulman

The question of which separable C*-algebras have abelian central sequence algebras was raised and studied by Phillips ([Ph88]) and Ando-Kirchberg ([AK14]). In this paper we give a…

math.OA2019

Almost commuting matrices, cohomology, and dimension

Dominic Enders, Tatiana Shulman

We investigate which relations for families of commuting matrices are stable under small perturbations, or in other words, which commutative -algebras are matricially s…

math.OA2015★ 8 cited

Semiprojectivity for Kirchberg algebras

Dominic Enders

We show that a Kirchberg algebra is semiprojective if and only if it is KK-semiprojective. In particular, this shows that a Kirchberg algebra in the UCT-class is semiprojective if…

math.OA2014

A characterization of semiprojectivity for subhomogeneous C*-algebras

Dominic Enders

We study semiprojective, subhomogeneous C*-algebras and give a detailed description of their structure. In particular, we find two characterizations of semiprojectivity for subhomo…

math.OA2014

On the nuclear dimension of certain UCT-Kirchberg algebras

Dominic Enders

We give a partial answer to the question for the precise value of the nuclear dimension of UCT-Kirchberg algebras raised by W. Winter and J. Zacharias. It is shown that every Kirch…

math.OA2014★ 3 cited

Subalgebras of finite codimension in semiprojective C*-algebras

Dominic Enders

We show that semiprojectivity of a C*-algebra is preserved when passing to C*-subalgebras of finite codimension. In particular, any pullback of two semiprojective C*-algebras over…

math.OA2013★ 16 cited

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…

math.OA2011★ 3 cited

A characterization of weak (semi-)projectivity for commutative C*-algebras

Dominic Enders

We show that the spectrum X of a weakly semiprojective, commutative C*-algebra C(X) is at most one dimensional. This completes the work of Sørensen and Thiel on the characterizatio…