James Gabe

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math.OA2024

A unified approach for classifying simple nuclear $C^{*}$ -algebras

Ben Bouwen, James Gabe

We provide a new proof of the Kirchberg--Phillips theorem by adapting the framework laid out by Carrión--Gabe--Schafhauser--Tikuisis--White for classifying separable simple unital…

math.OA2023

Extensions of C*-algebras

James Gabe, Huaxin Lin, Ping Wong Ng

Let $A$ be a separable amenable $C^{*}$ -algebra and $B$ a non-unital and $σ$ -unital simple $C^{*}$ -algebra with continuous scale ( $B$ need not be stable). We classify, up to unitary eq…

A unified approach for classifying simple nuclear C∗-algebras

Extensions of C*-algebras

A unified approach for classifying simple nuclear $C^{*}$ -algebras