Year: 2025
Type: preprint
Abstract: We study minimal left ideals in Steinberg algebras of Hausdorff groupoids. We establish a relationship between minimal left ideals in the algebra and open singletons in the unit space of the groupoid. We apply this to obtain results about the socle of Steinberg algebras under certain hypotheses. This encompasses known results about Leavitt path algebras and improves on Kumjian-Pask algebra results to include higher-rank graphs that are not row-finite.
Source: arXiv (Cornell University)
Authors: Clark, Lisa Orloff, Canto, Crist\'obal Gil, Barquero, Dolores Mart\'in, Gonz\'alez, C\'andido Mart\'in, Campos, Iv\'an Ruiz
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979306309
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