The socle of Leavitt path and Kumjian-Pask algebras through Steinberg algebras

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• Iván Ruiz campos (Universidad de Málaga)
• Thursday 03 July 2025, 10:10-10:30
• External.

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TGAW01 - Crossed products and groupoid C*-algebras

We investigate minimal left ideals in Steinberg algebras associated with Hausdorff groupoids. Our study reveals a connection between these minimal left ideals and open singletons in the groupoid’s unit space. Utilizing this relationship, we derive results concerning the socle of Steinberg algebras under specific conditions. This work extends existing findings on Leavitt path algebras and enhances Kumjian-Pask algebra results to encompass higher-rank graphs that are not row-finite.

This talk is part of the Isaac Newton Institute Seminar Series series.

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