Hannes Thiel

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20232025

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math.OA2024

Lie ideals in properly infinite C*-algebras

Hannes Thiel

We show that every Lie ideal in a unital, properly infinite C*-algebra is commutator equivalent to a unique two-sided ideal. It follows that the Lie ideal structure of such a C*-al…

math.OA2024

The ideal separation property for reduced group $C^{*}$ -algebras

Are Austad, Hannes Thiel

We say that an inclusion of an algebra $A$ into a $C^{*}$ -algebra $B$ has the ideal separation property if closed ideals in $B$ can be recovered by their intersection with $A$ . Such…

math.OA2024

Real rank of some multiplier algebras

Hannes Thiel

We show that there exists a separable, nuclear C*-algebra with real rank zero and trivial K-theory such that its multiplier and corona algebra have real rank one. This disproves tw…

Lie ideals in properly infinite C*-algebras

The ideal separation property for reduced group C∗-algebras

Real rank of some multiplier algebras

The ideal separation property for reduced group $C^{*}$ -algebras