activity
20042026
most citedModel theory of operator algebras III: Elementary equivalence and II_1 factors

74 citations · 433 across the 68 of their papers we have counts for

collaborators

75 papers

math.OA2026

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…

math.LO2026

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…

math.OA2026

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…

math.HO2025

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!

math.LO2025

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…

math.CO2025

Dependence of functions on their variables

Ilijas Farah

In this note I present a readable version of the proof of my 2001 result, giving a sufficient and necessary condition for a function on a combinatorial cube to essentially (locally…