English

Semidirect products of C*-quantum groups: multiplicative unitaries approach

Operator Algebras 2024-06-25 v2

Abstract

C*-quantum groups with projection are the noncommutative analogues of semidirect products of groups. Radford's Theorem about Hopf algebras with projection suggests that any C*quantum group with projection decomposes uniquely into an ordinary C*-quantum group and a "braided" C*-quantum group. We establish this on the level of manageable multiplicative unitaries.

Keywords

Cite

@article{arxiv.1603.02643,
  title  = {Semidirect products of C*-quantum groups: multiplicative unitaries approach},
  author = {Ralf Meyer and Sutanu Roy and Stanisław Lech Woronowicz},
  journal= {arXiv preprint arXiv:1603.02643},
  year   = {2024}
}

Comments

v2: corrected typos