5 citations · 7 across the 19 of their papers we have counts for
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Centrally pure C*-algebras
Francesc Perera, Hannes Thiel, Eduard Vilalta
We show that a separable C*-algebra is -stable if and only if its uncorrected central sequence algebra is pure, if and only if Kirchberg'…
An introduction to the Global Glimm Problem
Eduard Vilalta
The Global Glimm Problem lies at the heart of several open questions regarding regularity properties of C*-algebras. The problem has been open for over two decades, and has recentl…
The Global Glimm Property for C*-algebras of topological dimension zero
Ping Wong Ng, Hannes Thiel, Eduard Vilalta
We show that a C*-algebra with topological dimension zero has the Global Glimm Property (every hereditary subalgebra contains an almost full nilpotent element) if and only if it is…
Extensions of pure C*-algebras
Francesc Perera, Hannes Thiel, Eduard Vilalta
Given a closed ideal in a C*-algebra , we show that is pure if and only if and are pure. More generally, we study permanence of comparison and divisibility pro…
Strict comparison for twisted group C*-algebras
Sven Raum, Hannes Thiel, Eduard Vilalta
We prove that any reduced twisted group C*-algebra of a selfless group with the rapid decay property is selfless. As an application, we show that twisted group C*-algebras of acyli…
Z-stability of twisted group C*-algebras of nilpotent groups
Ulrik Enstad, Eduard Vilalta
We prove that the twisted group C*-algebra of a finitely generated nilpotent group is -stable if and only if it is nowhere scattered, a condition that we characterize…