English

Fundamental $C^*$-algebras associated to automata groups

Operator Algebras 2013-03-26 v2 Group Theory

Abstract

We propose to study some properties of the CC^*-algebra naturally built out of the fundamental action that an automaton group GG admits on a regular rooted trees \tree\tree.

Keywords

Cite

@article{arxiv.1204.1517,
  title  = {Fundamental $C^*$-algebras associated to automata groups},
  author = {Jean-François Planchat},
  journal= {arXiv preprint arXiv:1204.1517},
  year   = {2013}
}

Comments

with an Appendix written by Ivan Marin and Jean-Fran\c{c}ois Planchat