Exel's Effros–Hahn conjecture for Steinberg algebras
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.
Sources & referencesView supporting material
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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