C*-algebras whose every C*-subalgebra is AF
Operator Algebras
2010-08-24 v1
Abstract
Let be a -algebra. It is shown that the following conditions are equinvalent: (1) is scattered, (2) every -subalgebra of is AF, (3) every -subalgebra of has real rank zero.
Cite
@article{arxiv.1008.3748,
title = {C*-algebras whose every C*-subalgebra is AF},
author = {Kusuda and M},
journal= {arXiv preprint arXiv:1008.3748},
year = {2010}
}