Bowen--Franks groups and minus class groups of cyclotomic number fields with prime conductor

Antonio Lei, Katharina Müller, Daniel Vallières

Let $p$ be an odd rational prime and consider the cyclotomic number field $K=\mathbb{Q}(\hat{I}{\P }_p)$ of conductor $p$. We construct a directed graph $Y$ on $p-1$ vertices for which t…