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math.OA2025
A homotopy rigidity theorem for -stable -algebras
Jorge Castillejos, Baukje Debets, Gabor Szabo
We show that two simple, separable, nuclear and -stable -algebras are isomorphic if they are trace-preservingly homotopy equivalent. This result doe…
math.OA2019★ 1 cited
Pure infiniteness and paradoxicality for graph -algebras
Francesca Arici, Baukje Debets, Karen R. Strung
We obtain necessary and sufficient conditions for pure infiniteness of the path groupoid -algebra of a row-finite graph without sinks. In particular we show that for such a pa…