Classifying maps into uniform tracial sequence algebras

no code implementations • 8 Jun 2020 • Jorge Castillejos, Samuel Evington, Aaron Tikuisis, Stuart White

We classify $^*$-homomorphisms from nuclear $C^*$-algebras into uniform tracial sequence algebras of nuclear $\mathcal Z$-stable $C^*$-algebras via tracial data.

Operator Algebras 46L35

Nuclear dimension of extensions of $\mathcal{O}_\infty$-stable algebras

no code implementations • 7 Dec 2020 • Samuel Evington

We obtain an improved upper bound for the nuclear dimension of extensions of $\mathcal{O}_\infty$-stable $\rm{C}^*$-algebras.

Operator Algebras 46L35