E. Vilalta

activity

20242026

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3 papers · 1 filter

math.OA2026

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 $Z$ -stable if and only if it is nowhere scattered, a condition that we characterize…

math.OA2026

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…

math.OA2026

Continuous functions over a pure C*-algebra

Apurva Seth, Eduard Vilalta

Let $X$ be a compact metric space, and let $A$ be a pure $C^{*}$ -algebra. We show that $C (X, A)$ is pure whenever $A$ is simple; or every quotient of $A$ is stably finite (e.…