11 papers
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…
Applications of the Gelfand--Naimark duality
Ilijas Farah
Stone duality is an indispensable tool for the study of compact, zero-dimensional, Hausdorff spaces. In the case of general compact Hausdorff spaces one can get quite a bit of mile…
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…
Games in the matrix: Director's cut
Ilijas Farah
As , do the algebras of complex matrices look alike? Nobody knows, but let's play a game and see how far we get!
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…
Probably isomorphic structures
Ilijas Farah, Andrea Vaccaro
Two structures in the same language are called probably isomorphic if they (or, in case of metric structures, their completions) are isomorphic after forcing with the Lebesg…