2 citations · 2 across the 7 of their papers we have counts for
8 papers
for -algebras
James Gabe, Alistair Miller
We introduce a topological abelian group for every -algebra , which is functorial in and invariant under stabilisations. $\mathrm{K}_1^Δ…
Classification of quasi-free compact group actions on Cuntz algebras
James Gabe
Quasi-free actions of finite groups on Cuntz algebras for are classified up to conjugacy by data in the representation ring. Partial results are obtained f…
Generalized homomorphisms and KK with extra structure
Joachim Cuntz, James Gabe
We develop the approach via quasihomomorphisms and the universal algebra to Kasparov's -theory, so as to cover versions of such as , and ideal relate…
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…
Tracially Complete C*-Algebras
José R. Carrión, Jorge Castillejos, Samuel Evington +4
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…
Extensions of C*-algebras
James Gabe, Huaxin Lin, Ping Wong Ng
Let be a separable amenable -algebra and a non-unital and -unital simple -algebra with continuous scale ( need not be stable). We classify, up to unitary eq…