We introduce a notion of dimension for C*-algebras that we call spectral rank, based on spectrums of generators of C*-algebras. We study some basic properties for this new rank and establish its fundamental theory.
@article{1517, title = {Spectral Rank for C*-Algebras}, journal = {CUBO, A Mathematical Journal}, volume = {10}, year = {2008}, language = {en}, url = {http://dml.mathdoc.fr/item/1517} }
Sudo, Takahiro. Spectral Rank for 𝐶*-Algebras. CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1517/