Maximal Commutative Subalgebras of Steinberg Algebras
Anna Cichocka, Zachary Mesyan, Michal Ziembowski
TL;DR
This paper constructs extensive classes of maximal commutative subalgebras within prime Steinberg algebras, extending previous results known for Leavitt path algebras, thereby advancing the understanding of algebraic structures related to groupoids.
Contribution
It introduces new classes of maximal commutative subalgebras in prime Steinberg algebras, generalizing earlier findings for Leavitt path algebras.
Findings
Construction of large classes of maximal commutative subalgebras
Generalization of known results from Leavitt path algebras
Enhanced understanding of algebraic structures in Steinberg algebras
Abstract
We construct large classes of maximal commutative subalgebras in prime Steinberg algebras, generalizing a known result for Leavitt path algebras.
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