Compact quantum groups generated by their tori

Teo Banica

Compact quantum groups generated by their tori

Operator Algebras 2019-11-12 v3 Quantum Algebra Representation Theory

Authors: Teo Banica

Abstract

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.

Keywords

topological groups quantum groups wreath product of groups

Cite

@article{arxiv.1903.03885,
  title  = {Compact quantum groups generated by their tori},
  author = {Teo Banica},
  journal= {arXiv preprint arXiv:1903.03885},
  year   = {2019}
}

Comments

Withdrawn by the author - the main findings in this paper are now part of arXiv:1909.08152

Compact quantum groups generated by their tori

Abstract

Keywords

Cite

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