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C. Eckhardt

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Preprint Aug 2026

Non-MF groups and non-finite full group C*-algebras

Let $\Gamma$ be a property (T) group admitting an injective, non-surjective endomorphism and let $G$ be the associated ascending HNN-extension. Let $W=\left(\bigoplus_{G/\Gamma} \mathbb{Z}/2\mathbb{Z}\right) \rtimes G.$ We show that $W$ is not an MF group and that $C^*(G)$ is not a finite C*-algebra. The ideas and proo...

C. Eckhardt · 1 citation · ⚡1

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