Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algebraic analogue of Exel-Pardo C*-algebras   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 all isomorphic to
Steinberg algebras.

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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int