Trace-preserving homotopy equivalence implies isomorphism for simple, separable, nuclear Z0-stable C*-algebras, without assuming the UCT.
Loring, and Gert K
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A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras
Trace-preserving homotopy equivalence implies isomorphism for simple, separable, nuclear Z0-stable C*-algebras, without assuming the UCT.