C*-algebras of stable rank one and their Cuntz semigroups
C*-algebras of stable rank one and their Cuntz semigroups
The uncovering of new structure on the Cuntz semigroup of a C*-algebra of stable rank one leads to several applications: we answer affirmatively, for the class of stable rank-one C*-algebras, a conjecture by Blackadar and Handelman on dimension functions, the global Glimm halving problem, and the problem of realizing functions …