Work

Bowen--Franks groups and minus class groups of imaginary abelian fields

Year: 2026
Type: preprint
Abstract: $\mathrm{Lei}$, $\mathrm{M\ddot{u}ller}$, and $\mathrm{Valli\grave{e}res}$ constructed a directed graph for which the torsion part of the corresponding Bowen--Franks group is related to the minus part of the class group of a cyclotomic number field with prime conductor. We extend this result to a general imaginary abelian field.
Language: English
Open Access status: green
OpenAlex ID: W7223126376
Cites: 4
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Related to: 10