74 citations · 433 across the 68 of their papers we have counts for
38 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…
Set-theoretic absoluteness for analysts and separable \cstar-algebras without Choice
Bruce Blackadar, Ilijas Farah
Basic theory of separable C*-algebras can be developed without the Axiom of Choice, and it does not depend on the Continuum Hypothesis, Martin's Axiom, and other standard set-theor…
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…
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…
A dichotomy for central sequence algebras
Ilijas Farah, Ilan Hirshberg
We prove that the central sequence algebra of a separable C*-algebra is either subhomogeneous or non-exact, confirming a conjecture of Enders and Shulman. We also prove analogous d…
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…