Strict comparison in reduced group $C^{\ast }$-algebras

Tattwamasi Amrutam, David Gao, Srivatsav Kunnawalkam Elayavalli +1

We prove that for every $n\ge 2$, the reduced group $C^{\ast }$-algebras of the countable free groups $C_r^{\ast }({\mathbb{F}}_n)$ have strict comparison. Our method works in a general setting…