# Graphs, groups and self-similarity

@article{Exel2013GraphsGA, title={Graphs, groups and self-similarity}, author={Ruy Exel and Enrique Pardo}, journal={arXiv: Operator Algebras}, year={2013} }

We study a family of C*-algebras generalizing both Katsura algebras and certain algebras introduced by Nekrashevych in terms of self-similar groups.

## 6 Citations

### Self-Similar Graph C*-Algebras and Partial Crossed Products

- Mathematics
- 2014

In a recent paper, Pardo and the first named author introduced a class of C*-algebras which which are constructed from an action of a group on a graph. This class was shown to include many…

### The tight groupoid of an inverse semigroup

- Mathematics
- 2014

In this work we present algebraic conditions on an inverse semigroup $$\mathcal {S}$$S (with zero) which imply that its associated tight groupoid $$\mathcal {G}_\mathrm{tight}(\mathcal…

### C*-algebras of Boolean inverse monoids - traces and invariant means

- Mathematics
- 2016

To a Boolean inverse monoid $S$ we associate a universal C*-algebra $C_B^*(S)$ and show that it is equal to Exel's tight C*-algebra of $S$. We then show that any invariant mean on $S$ (in the sense…

### The tight groupoid of an inverse semigroup

- Materials ScienceSemigroup Forum
- 2015

In this work we present algebraic conditions on an inverse semigroup S\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}…

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