Real and stable ranks for certain crossed products of Toeplitz algebras

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*-algebras.Consideramos la estructura algebraica de ciertos productos cruzados de algebra de Toeplitz y sus productos tensoriales. Usando la estructura estimamos el rango estable y el rango real de estos productos cruzados. En particular, obtenemos una estimativa del rango real para extensiones de C*-algebras.

Keywords

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