A relative bicommutant theorem: the stable case of Pedersen's question
Operator Algebras
2018-01-15 v1 Functional Analysis
K-Theory and Homology
Abstract
In 1976, D. Voiculescu proved that every separable unital sub-C*-algebra of the Calkin algebra is equal to its (relative) bicommutant. In his minicourse (see reference), G. Pedersen asked in 1988 if Voiculescu's theorem can be extended to a simple corona algebra of a -unital C*-algebra. In this note, we answer Pedersen's question for a stable -unital C*-algebra.
Keywords
Cite
@article{arxiv.1801.03992,
title = {A relative bicommutant theorem: the stable case of Pedersen's question},
author = {Thierry Giordano and Ping W. Ng},
journal= {arXiv preprint arXiv:1801.03992},
year = {2018}
}