5 papers · 1 filter
Ulam stability for classes of nuclear C*-algebras
Vadim Alekseev, Ilijas Farah, Andreas Thom
We study Ulam stability for approximate *-homomorphisms of C*-algebras. We prove stability results for several classes of nuclear C*-algebras with respect to von Neumann algebra ta…
Separable C*-algebras Without the Countable Axiom of Choice
Bruce Blackadar, Ilijas Farah
The goal of this paper is twofold. In addition to the results stated in the next paragraph, we present some classical results on absoluteness relevant to functional analysis that a…
Continuous Selection of Unitaries in II Factors
Ilijas Farah, Andrea Vaccaro
We prove continuous-valued analogues of the basic fact that Murray-von Neumann subequivalence of projections in II factors is completely determined by tracial evaluations. We m…
Quantum Expanders and Quantifier Reduction for Tracial von Neumann Algebras
Ilijas Farah, David Jekel, Jennifer Pi
We provide a complete characterization of theories of tracial von Neumann algebras that admit quantifier elimination. We also show that the theory of a separable tracial von Neuman…
Coronas and strongly self-absorbing C*-algebras
Ilijas Farah, Gábor Szabó
Let be a strongly self-absorbing -algebra. Given any separable -algebra , our two main results assert the following. If is $\mathcal…