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- W4287284583 abstract "We give a one-to-one correspondence between ideals in the Steinberg algebra of a Hausdorff ample groupoid $G$, and certain families of ideals in the group algebras of isotropy groups in $G$. This generalises a known ideal correspondence theorem for Steinberg algebras of strongly effective groupoids. We use this to give a complete graph-theoretic description of the ideal lattice of Leavitt path algebras over arbitrary commutative rings, generalising the classification of ideals in Leavitt path algebras over fields." @default.
- W4287284583 created "2022-07-25" @default.
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- W4287284583 date "2021-03-03" @default.
- W4287284583 modified "2023-10-16" @default.
- W4287284583 title "A classification of ideals in Steinberg and Leavitt path algebras over arbitrary rings" @default.
- W4287284583 doi "https://doi.org/10.48550/arxiv.2103.02712" @default.
- W4287284583 hasPublicationYear "2021" @default.
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