Minimal surjective local homeomorphisms of finite-dimensional compact spaces give Deaconu-Renault groupoids with dynamical comparison, yielding UCT Kirchberg algebras and, in the Cantor case, Matui's AH conjecture.
Simplicity of twisted C^* -algebras of D eaconu- R enault groupoids
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Dynamical comparison for local homeomorphisms
Minimal surjective local homeomorphisms of finite-dimensional compact spaces give Deaconu-Renault groupoids with dynamical comparison, yielding UCT Kirchberg algebras and, in the Cantor case, Matui's AH conjecture.