James Gabe

collaborators

3 papers

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.KT2024

Generalized homomorphisms and KK with extra structure

Joachim Cuntz, James Gabe

We develop the approach via quasihomomorphisms and the universal algebra $q A$ to Kasparov's $K K$ -theory, so as to cover versions of $K K$ such as $K K^{n u c}$ , $K K^{G}$ and ideal relate…

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

Generalized homomorphisms and KK with extra structure

Extensions of C*-algebras

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