Since Elliotts classification of approximately finite C*-algebras it is well known that there are strong ties between classification theory and approximation theory for C*-algebras. The full depth of ...

This is a preview. Log in through your library . Abstract Characterisations and containment results are given for linear subspaces of a unital C*-algebra that are invariant under conjugation by sets ...

We show that it is consistent with Zermelo–Fraenkel set theory with the axiom of choice (ZFC) that there is a simple nuclear nonseparable C*-algebra, which is not isomorphic to its opposite algebra.

Hilbert space theory and operator algebras provide a robust framework for analysing linear operators and their spectral properties, which are pivotal in both pure and applied mathematics. Hilbert ...

This overview examines the field of sofic groups and operator algebras, an interdisciplinary domain interfacing group theory, functional analysis and mathematical physics. Sofic groups—distinguished ...