Strong perforation in infinitely generated $\mathrm{K}_0$-groups of simple $C^*$-algebras
Strong perforation in infinitely generated $\mathrm{K}_0$-groups of simple $C^*$-algebras
Let $(G,G^{+})$ be an ordered abelian group. We say that $G$ has strong perforation if there exists $x \in G$, $x \notin G^{+}$, such that $nx \in G^{+}$, $nx \neq 0$ for some natural number $n$. Otherwise, the group is said to be weakly unperforated. Examples of simple $C^{*}$-algebras whose …