English

$B^p_r(F_n)$ has no nontrivial idempotents

Operator Algebras 2022-06-28 v1 Functional Analysis Group Theory

Abstract

We show that there is no nontrivial idempotent in the reduced group p\ell^p-operator algebra Brp(Fn)B^p_r(F_n) of the free group FnF_n on nn generators for each positive integer nn.

Keywords

Cite

@article{arxiv.2206.13197,
  title  = {$B^p_r(F_n)$ has no nontrivial idempotents},
  author = {Yifan Liu and Jianguo Zhang},
  journal= {arXiv preprint arXiv:2206.13197},
  year   = {2022}
}

Comments

7 pages. Any comments are welcome