2 papers
math.OA2025
Self-adjoint traces on the Pedersen ideal of -algebras
James Gabe, Alistair Miller
In order to circumvent a fundamental issue when studying densely defined traces on -algebras -- which we refer to as the Trace Question -- we initiate a systematic…
math.OA2024
A unified approach for classifying simple nuclear -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…