Real and stable ranks for certain crossed products of Toeplitz algebras

Takahiro Sudo

doi:10.4067/S0719-06462010000200016

Real and stable ranks for certain crossed products of Toeplitz algebras

Authors

Takahiro Sudo Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus, Nishihara, Okinawa 903-0213, Japan.

DOI:

https://doi.org/10.4067/S0719-06462010000200016

Keywords:

C*-algebra, Crossed products, Stable rank, Real rank, Toeplitz algebra

Abstract

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^âˆ—-algebras.