Classifying maps into uniform tracial sequence algebras

Abstract

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

Appendix A added, containing a 2 page corrigendum fixing a small error in the proof of Theorem 2.6. The corrigendum will be published as a separate article