Teo Banica
Published 2019-03-09Version 1
Associated to any closed subgroup $G\subset U_N^+$ is a family of toral subgroups $T_Q\subset G$, indexed by the unitary matrices $Q\in U_N$. The family $\{T_Q|Q\in U_N\}$ is expected to encode the main properties of $G$, and there are several conjectures in this sense. We verify here the generation conjecture, $G=<T_Q|Q\in U_N>$, for various classes of compact quantum groups. Our results generalize the previously known facts on the subject.
Tracial central states on compact quantum groups
Structure and Isomorphism Classification of Compact Quantum Groups A_u(Q) and B_u(Q)
A New Characterisation of Idempotent States on Finite and Compact Quantum Groups
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