Anyonic quantum symmetries of finite spaces

Anshu,; Bhattacharjee, Suvrajit; Rahaman, Atibur; Roy, Sutanu

doi:10.1007/s11005-023-01736-1

Lett Math Phys

2023

DOI: 10.1007/s11005-023-01736-1

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Anyonic quantum symmetries of finite spaces

Anshu,

Suvrajit Bhattacharjee,

Atibur Rahaman

et al.

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2024

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Braided quantum symmetries of graph C∗-algebras

Bhattacharjee,

Joardar,

Roy

2024

Int. J. Math.

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We prove the existence of a universal braided compact quantum group acting on a graph [Formula: see text]-algebra in the category of [Formula: see text]-[Formula: see text]-algebras with a twisted monoidal structure, in the spirit of the seminal work of 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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Braided quantum symmetries of graph C∗-algebras

Bhattacharjee,

Joardar,

Roy

2024

Int. J. Math.

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Anyonic quantum symmetries of finite spaces

Cited by 1 publication

References 18 publications

Braided quantum symmetries of graph C∗-algebras

Braided quantum symmetries of graph C∗-algebras

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