Real and stable ranks for certain crossed products of Toeplitz algebras
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.
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2010
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oai:scielo:S0719-064620100002000162018-10-08Real and stable ranks for certain crossed products of Toeplitz algebrasSudo,Takahiro C*-algebra Crossed products Stable rank Real rank Toeplitz algebra 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.2 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200016en10.4067/S0719-06462010000200016 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
C*-algebra Crossed products Stable rank Real rank Toeplitz algebra |
spellingShingle |
C*-algebra Crossed products Stable rank Real rank Toeplitz algebra Sudo,Takahiro Real and stable ranks for certain crossed products of Toeplitz algebras |
description |
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. |
author |
Sudo,Takahiro |
author_facet |
Sudo,Takahiro |
author_sort |
Sudo,Takahiro |
title |
Real and stable ranks for certain crossed products of Toeplitz algebras |
title_short |
Real and stable ranks for certain crossed products of Toeplitz algebras |
title_full |
Real and stable ranks for certain crossed products of Toeplitz algebras |
title_fullStr |
Real and stable ranks for certain crossed products of Toeplitz algebras |
title_full_unstemmed |
Real and stable ranks for certain crossed products of Toeplitz algebras |
title_sort |
real and stable ranks for certain crossed products of toeplitz algebras |
publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
publishDate |
2010 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200016 |
work_keys_str_mv |
AT sudotakahiro realandstableranksforcertaincrossedproductsoftoeplitzalgebras |
_version_ |
1714206767373615104 |