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The ideal structure of Exel-Pardo algebras and their higher rank analogues

math.OA · 2026-05-22 · unverdicted · novelty 6.0

For pseudo-free self-similar actions of countable groups on countable graphs with amenable vertex stabilizers, the primitive ideal space of the Exel-Pardo algebra is described graph-theoretically when the stabilizers do not contribute to the ideal structure.

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  • The ideal structure of Exel-Pardo algebras and their higher rank analogues math.OA · 2026-05-22 · unverdicted · none · ref 4

    For pseudo-free self-similar actions of countable groups on countable graphs with amenable vertex stabilizers, the primitive ideal space of the Exel-Pardo algebra is described graph-theoretically when the stabilizers do not contribute to the ideal structure.