The real and stable rank of tracially complete C*-algebras
arXiv:2604.24206
Abstract
We prove that a factorial tracially complete C*-algebra with CPoU has real rank zero and stable rank one. This leads to an essentially complete description of the Cuntz semigroup of these algebras. In particular, the results of this paper hold for the uniform tracial completions of -stable C*-algebras.
14 pages; submitted version