Andreas Thom

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math.OA2026

$L^{2}$ -cohomology and deformations of the left regular representation

Christoph Gamm, Andreas Thom

We study deformations of unitary representations $I ¨ : G \to U (H)$ whose coefficients lie in the Hilbert-Schmidt ideal $H S (H) \subset B (H)$ . Interesting applications arise for th…

math.OA2024

Amenability for unitary groups of C*-algebras

Vadim Alekseev, Max Schmidt, Andreas Thom

In this note we state a conjecture that characterizes unital C*-algebras for which the unitary group is amenable as a topological group in the norm topology. We prove the conjectur…

L2-cohomology and deformations of the left regular representation

Amenability for unitary groups of C*-algebras

$L^{2}$ -cohomology and deformations of the left regular representation