Mathematics > Operator Algebras
arXiv:2606.10723 (math)
[Submitted on 9 Jun 2026 (v1), last revised 12 Jun 2026 (this version, v2)]
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.
Submission history
From: Tattwamasi Amrutam [view email]
[v1]
Tue, 9 Jun 2026 11:33:14 UTC (14 KB)
[v2]
Fri, 12 Jun 2026 15:39:28 UTC (16 KB)
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