5 problems

Let $A$ be a simple, separable, unital ASH algebra with strict slow dimension growth. Let $\mathrm{W}(A)$ be its Cuntz semigroup and let $\widetilde{\mathrm{W}}(A)$ denote the orde…

Let $A$ be a unital and stably finite C$^*$-algebra with no nonzero finite-dimensional representations. Let $iota$ denote the natural map from the positive part of the Cuntz semigr…

Let $A$ be a simple, unital, finite, exact C$^*$-algebra that absorbs the JiangSu algebra $Z$ tensorially. Suppose its Cuntz semigroup admits the complete order embedding into an o…

Let $A$ be a separable, stably finite C-algebra. A faithful Cuntz semigroup embedding conjecture asserts that there is a faithful $\operatorname{Cu}$-morphism … If true, this would…

Consider simple, separable, nuclear $C^*$-algebras and regularity properties expressing that they are sufficiently well-behaved, such as Jiang–Su stability, unperforation of the Cu…