Topological generation and matrix models for quantum reflection groups

Michael Brannan; Alexandru Chirvasitu; Amaury Freslon

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arXiv · 1808.08611

Topological generation and matrix models for quantum reflection groups

Michael Brannan·Alexandru Chirvasitu·Amaury Freslon

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Abstract

We establish several new topological generation results for the quantum permutation groups $S^+_N$ and the quantum reflection groups $H^{s+}_N$. We use these results to show that these quantum groups admit sufficiently many "matrix models". In particular, all of these quantum groups have residually finite discrete duals (and are, in particular, hyperlinear), and certain "flat" matrix models for $S_N^+$ are inner faithful.

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Michael Brannan, Alexandru Chirvasitu, Amaury Freslon. 2018-08-26. Topological generation and matrix models for quantum reflection groups. https://arxiv.org/abs/1808.08611

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