Families of Type {\rm III KMS} States on a Class of $C^{\ast }$-Algebras containing $O_n$ and ${\mathcal{Q}}_{\mathbb{N}}$

A. L. Carey, J. Phillips, I. F. Putnam +1

We construct a family of purely infinite $C^{\ast }$-algebras, ${\mathcal{Q}}^{\lambda }$ for $\lambda \in (0,1)$ that are classified by their $K$-groups. There is an action of the circle $\T$ with a uniq…