Exel's Effros–Hahn conjecture for Steinberg algebras
Let be a field, let be an ample groupoid, and let . Write for the Steinberg algebra, for the isotropy group at , and, for a left -module , write
Here and is a primitive ideal of . Exel's Effros–Hahn conjecture. Then
for some and some simple left -module . The conjecture is the Steinberg-algebra analogue of the Effros–Hahn conjecture, which asserts that primitive ideals arise by induction from isotropy data. The source records this as a conjecture proposed by R. Exel at the 2014 PARS meeting; its status is not established in the supplied text.
References
Primary source
T. T. H. Duyen, D. Gonçalves and T. G. Nam, “On the ideals of ultragraph Leavitt path algebras”, arXiv:2109.10440 (2021).
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