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

Source 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.