Relative double commutants in coronas of separable C*-algebras
Operator Algebras
2023-06-28 v2 Functional Analysis
Abstract
We prove a double commutant theorem for separable subalgebras of a wide class of corona C*-algebras, largely resolving a problem posed by Pedersen. Double commutant theorems originated with von Neumann, whose seminal result evolved into an entire field now called von Neumann algebra theory. Voiculescu later proved a C*-algebraic double commutant theorem for subalgebras of the Calkin algebra. We prove a similar result for subalgebras of a much more general class of so-called corona C*-algebras.
Keywords
Cite
@article{arxiv.1810.01413,
title = {Relative double commutants in coronas of separable C*-algebras},
author = {Dan Kucerovsky and Martin Mathieu},
journal= {arXiv preprint arXiv:1810.01413},
year = {2023}
}