A total Cuntz semigroup for $C^{\ast }$-algebras of stable rank one

Qingnan An, Zhichao Liu

In this paper, we show that for unital, separable $C^{\ast }$-algebras of stable rank one and real rank zero, the unitary Cuntz semigroup functor and the functor ${\mathrm{K}}_{\ast }$ are naturall…