Classifying maps into uniform tracial sequence algebras

TL;DR

This paper classifies *-homomorphisms from nuclear C*-algebras into uniform tracial sequence algebras of nuclear Z-stable C*-algebras using tracial data, advancing understanding of their structure.

Contribution

It introduces a classification method for *-homomorphisms based on tracial data in the context of nuclear and Z-stable C*-algebras.

Findings

Classification achieved via tracial data

Applicable to nuclear Z-stable C*-algebras

Enhances understanding of *-homomorphism structure

Abstract

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