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arXiv · 2606.10723

Simplicity of q-Gaussian C*-algebras

Tattwamasi Amrutam·David Jekel·Mateusz Wasilewski
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Abstract

We show that q-Gaussian $C^*$-algebras for $q \in (-1, 1)$ have the Dixmier averaging property, and hence are simple with a unique trace. We argue by combining rapid decay and spectral gap estimates for the commutators with the generators, which are obtained from free probability.

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Tattwamasi Amrutam, David Jekel, Mateusz Wasilewski. 2026-06-09. Simplicity of q-Gaussian C*-algebras. https://arxiv.org/abs/2606.10723

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