James Gabe

collaborators

4 papers

math.OA2025

Inclusions of real rank zero

James Gabe, Robert Neagu

We introduce a notion of real rank zero for inclusions of C $^{*}$ -algebras. After showing that our definition has many equivalent characterisations, we offer a complete description o…

math.OA2024

Classification of quasi-free compact group actions on Cuntz algebras

James Gabe

Quasi-free actions of finite groups on Cuntz algebras $O_{n}$ for $n \geq 2$ are classified up to conjugacy by data in the representation ring. Partial results are obtained f…

math.OA2024

Tracially Complete C*-Algebras

We introduce a new class of operator algebras -- tracially complete C*-algebras -- as a vehicle for transferring ideas and results between C*-algebras and their tracial von Neumann…

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…