English

Pythagorean representations of Thompson's groups

Group Theory 2018-07-18 v1 Operator Algebras Representation Theory

Abstract

We introduce the Pythagorean C*-algebras and use the category/functor method to construct unitary representations of Thompson's groups from representations of them. We calculate several examples.

Keywords

Cite

@article{arxiv.1807.06215,
  title  = {Pythagorean representations of Thompson's groups},
  author = {Arnaud Brothier and Vaughan F. R. Jones},
  journal= {arXiv preprint arXiv:1807.06215},
  year   = {2018}
}

Comments

22 pages, 8 figures

R2 v1 2026-06-23T03:03:42.656Z