LAUSR

Divergence functions of Thompson groups

Sign Up to like & get
recommendations!
1 Published in 2018 at "Geometriae Dedicata"

DOI: 10.1007/s10711-018-0390-x

Abstract: We prove that the R. Thompson groups F, T, V have linear divergence functions. read more here.

Keywords: functions thompson; thompson groups; divergence functions;

Representations of Thompson groups from Cuntz algebras

Sign Up to like & get
recommendations!
1 Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.05.028

Abstract: Abstract We associate a representation of the Thompson group V (and thus of F and T by considering the restriction) to every representation of the Cuntz algebra O 2 . The well-developed theory of representations… read more here.

Keywords: thompson groups; cuntz algebras; groups cuntz; representations thompson ... See more keywords

Some embeddings between symmetric R. thompson groups

Sign Up to like & get
recommendations!
1 Published in 2021 at "Proceedings of the Edinburgh Mathematical Society"

DOI: 10.1017/s001309152100047x

Abstract: Let $m\leqslant n\in \mathbb {N}$, and $G\leqslant \operatorname {Sym}(m)$ and $H\leqslant \operatorname {Sym}(n)$. In this article, we find conditions enabling embeddings between the symmetric R. Thompson groups ${V_m(G)}$ and ${V_n(H)}$. When $n\equiv 1 \mod (m-1)$,… read more here.

Keywords: leqslant operatorname; thompson groups; operatorname sym; symmetric thompson ... See more keywords

Orderings of Witzel–Zaremsky–Thompson groups

Sign Up to like & get
recommendations!
1 Published in 2017 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1424879

Abstract: ABSTRACT We prove the orderability of the Witzel-Zaremsky-Thompson group for a direct system of orderable groups under a certain compatibility assumption. read more here.

Keywords: zaremsky thompson; orderings witzel; witzel zaremsky; thompson groups ... See more keywords

New embeddings between the Higman-Thompson groups

Sign Up to like & get
recommendations!
1 Published in 2020 at "Communications in Algebra"

DOI: 10.1080/00927872.2020.1739290

Abstract: Abstract We give a direct proof that all Higman-Thompson groups of the form Gk,1 (for ) are embedded in one another, which is a recent result of N. Matte Bon. This extends the embeddings given… read more here.

Keywords: embeddings higman; higman thompson; new embeddings; thompson groups ... See more keywords