# An Algebraic Analogue of Exel–Pardo C∗-Algebras

@article{Hazrat2019AnAA, title={An Algebraic Analogue of Exel–Pardo C∗-Algebras}, author={Roozbeh Hazrat and David Pask and Adam Sierakowski and Aidan Sims}, journal={Algebras and Representation Theory}, year={2019}, volume={24}, pages={877 - 909} }

We introduce an algebraic version of the Katsura C∗-algebra of a pair A,B of integer matrices and an algebraic version of the Exel–Pardo C∗-algebra of a self-similar action on a graph. We prove a Graded Uniqueness Theorem for such algebras and construct a homomorphism of the latter into a Steinberg algebra that, under mild conditions, is an isomorphism. Working with Steinberg algebras over non-Hausdorff groupoids we prove that in the unital case, our algebraic version of Katsura C∗-algebras are…

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