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arXiv · 2201.09885

Braided quantum symmetries of graph $\mathrm{C}^*$-algebras

Suvrajit Bhattacharjee·Soumalya Joardar·Sutanu Roy
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Abstract

We prove the existence of a universal braided compact quantum group acting on a graph $\mathrm{C}^*$-algebra in the category of $\mathbb{T}$-$\mathrm{C}^*$-algebras with a twisted monoidal structure, in the spirit of the seminal work of S. Wang. To achieve this, we construct a braided analogue of the free unitary quantum group and study its bosonization. As a concrete example, we compute this universal braided compact quantum group for the Cuntz algebra.

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Suvrajit Bhattacharjee, Soumalya Joardar, Sutanu Roy. 2022-01-24. Braided quantum symmetries of graph $\mathrm{C}^*$-algebras. https://doi.org/10.1142/s0129167x24500514

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