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

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

2012-04-06

arxiv.org/abs/1204.1517v1

Mathematics

Operator Algebras

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

Scientific paper

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

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