English

Infinite characters of type II on $SL_n(\mathbb{Z})$

Operator Algebras 2021-12-21 v2 Group Theory

Abstract

We construct uncountably many infinite characters of type II for SLn(Z)SL_n(\mathbb{Z}), n2n \geq 2.

Keywords

Cite

@article{arxiv.2111.11754,
  title  = {Infinite characters of type II on $SL_n(\mathbb{Z})$},
  author = {Rémi Boutonnet},
  journal= {arXiv preprint arXiv:2111.11754},
  year   = {2021}
}

Comments

v2: 9 pages, major revision. The proof of Theorem 1.3 contained a mistake. We give a different construction, slightly more elaborate, but using a simpler argument