Contractible Cuntz classes in $Z$-stable C${}^{\ast }$-algebras

Chrisil Ouseph, Andrew S. Toms

Let $A$ be a unital, simple and Z-stable C${}^{\ast }$-algebra. We show that the set of positive elements in $A$ (resp. $A\otimes K$) belonging to a fixed non-compact Cuntz class is contr…