We introduce a notion of dimension for đ¶*-algebras that is a noncommutative version of the covering dimension for spaces, and study its basic properties and some properties for continuous field đ¶*-algebras, tensor products and composition series. As an application we estimate the dimension of the group đ¶*-algebras of some important solvable Lie groups.
@article{1613,
title = {A covering dimension for C*-algebras},
journal = {CUBO, A Mathematical Journal},
volume = {8},
year = {2006},
language = {en},
url = {http://dml.mathdoc.fr/item/1613}
}
Sudo, Takahiro. A covering dimension for đ¶*-algebras. CUBO, A Mathematical Journal, Tome 8 (2006) . http://gdmltest.u-ga.fr/item/1613/