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A homotopy rigidity theorem for Ƶ0-stable C*-algebras
- Part of
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- Journal:
- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics , First View
- Published online by Cambridge University Press:
- 29 April 2026, pp. 1-15
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We show that two simple, separable, nuclear, and
${\mathcal{Z}_0}$-stable 
$\mathrm{C}^{*}$-algebras are isomorphic if they are trace-preservingly homotopy equivalent. This result does not assume the Universal Coefficient Theorem and can be viewed as a tracial stably projectionless analogue of the homotopy rigidity theorem for Kirchberg algebras.
