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Discrete quantum subgroups of free unitary quantum groups
We classify all compact quantum groups whose C*‐algebra sits inside that of the free unitary
quantum groups UN+ U_N^+. In other words, we classify all discrete quantum subgroups of …
quantum groups UN+ U_N^+. In other words, we classify all discrete quantum subgroups of …
Tracial central states on compact quantum groups
Motivated by classical investigation of conjugation invariant positive-definite functions on
discrete groups, we study tracial central states on universal C*-algebras associated with …
discrete groups, we study tracial central states on universal C*-algebras associated with …
Projective Versions of Spatial Partition Quantum Groups
N Faroß - arxiv preprint arxiv:2411.04012, 2024 - arxiv.org
We generalize categories of spatial partitions in the sense of C\'ebron-Weber by introducing
new base partitions. This allows us to construct additional examples of free orthogonal …
new base partitions. This allows us to construct additional examples of free orthogonal …
Quantum information theory and Fourier multipliers on quantum groups
C Arhancet - arxiv preprint arxiv:2008.12019, 2020 - arxiv.org
In this paper, we compute the exact values of the minimum output entropy and the
completely bounded minimal entropy of very large classes of quantum channels acting on …
completely bounded minimal entropy of very large classes of quantum channels acting on …
Injectivity for algebras and categories with quantum symmetry
L Hataishi, M Yamashita - arxiv preprint arxiv:2205.06663, 2022 - arxiv.org
We study completely positive maps and injectivity for Yetter-Drinfeld algebras over compact
quantum groups, and module categories over rigid C*-tensor categories. This gives a …
quantum groups, and module categories over rigid C*-tensor categories. This gives a …
Classical actions of quantum permutation groups
arxiv:2306.17502v1 [math.OA] 30 Jun 2023 Page 1 arxiv:2306.17502v1 [math.OA] 30 Jun
2023 CLASSICAL ACTIONS OF QUANTUM PERMUTATION GROUPS AMAURY FRESLON …
2023 CLASSICAL ACTIONS OF QUANTUM PERMUTATION GROUPS AMAURY FRESLON …
Algebraic quantum transformation groupoids of compact type
F Taipe - arxiv preprint arxiv:2306.17753, 2023 - arxiv.org
In this work, we introduce a class of Timmermann's measured multiplier Hopf*-algebroids
called algebraic quantum transformation groupoids of compact type. Each object in this …
called algebraic quantum transformation groupoids of compact type. Each object in this …
[PDF][PDF] CLASSICAL SPACES AND QUANTUM SYMMETRIES
A FRESLON - imo.universite-paris-saclay.fr
Non-commutative geometry emerged from the idea of considering non-commutative
algebras as substitutes for classical spaces, for instance when their topological or geometric …
algebras as substitutes for classical spaces, for instance when their topological or geometric …