English

Higher l^2-Betti numbers of universal quantum groups

Operator Algebras 2017-06-14 v3

Abstract

We calculate all 2\ell^2-Betti numbers of the universal discrete Kac quantum groups U^n+\hat U_n^+ as well as their full half-liberated counterparts U^n\hat U_n^*.

Cite

@article{arxiv.1612.07706,
  title  = {Higher l^2-Betti numbers of universal quantum groups},
  author = {Julien Bichon and David Kyed and Sven Raum},
  journal= {arXiv preprint arXiv:1612.07706},
  year   = {2017}
}

Comments

11 pages; v2: typos corrected, minor changes. v3: minor changes following the referee's remarks. Accepted for publication in Can. Math. Bull

R2 v1 2026-06-22T17:32:38.856Z