On the nuclear dimension of certain UCT-Kirchberg algebras
Dominic Enders

TL;DR
This paper determines that certain UCT-Kirchberg algebras with torsion-free K_1 groups have nuclear dimension 1, advancing understanding of their structural properties in operator algebra theory.
Contribution
It proves that all UCT-Kirchberg algebras with torsion-free K_1 groups have nuclear dimension 1, partially answering a question posed by Winter and Zacharias.
Findings
UCT-Kirchberg algebras with torsion-free K_1 have nuclear dimension 1
Provides partial answer to the nuclear dimension question for UCT-Kirchberg algebras
Advances classification theory of nuclear C*-algebras
Abstract
We give a partial answer to the question for the precise value of the nuclear dimension of UCT-Kirchberg algebras raised by W. Winter and J. Zacharias. It is shown that every Kirchberg algebra in the UCT-class with torsion free -group has nuclear dimension 1.
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