We consider the algebraic structure of certain crossed products of the Toeplitz algebra and its tensor products. Using the structure, we estimate the stable rank and real rank of those crossed products. In particular, we obtain a real rank estimate for extensions of C∗-algebras.
@article{1418,
title = {Real and stable ranks for certain crossed products of Toeplitz algebras},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1418}
}
Sudo, Takahiro. Real and stable ranks for certain crossed products of Toeplitz algebras. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1418/