A covering dimension for ð¶*-algebras
-
Takahiro Sudo
sudo@math.u-ryukyu.ac.jp
Downloads
Abstract
We introduce a notion of dimension for ð¶*-algebras that is a noncommutative version of the covering dimension for spaces, and study its basic properties and some properties for continuous field ð¶*-algebras, tensor products and composition series. As an application we estimate the dimension of the group ð¶*-algebras of some important solvable Lie groups.
Keywords
Most read articles by the same author(s)
- Takahiro Sudo, The K-theory ranks for crossed products of C*-algebras by the group of integers , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- Takahiro Sudo, K-theory for the C*-algebras of continuous functions on certain homogeneous spaces in semi-simple Lie groups. , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Takahiro Sudo, K-theory for the group C*-algebras of nilpotent discrete groups , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Takahiro Sudo, K-theory for the group C*-algebras of a residually finite discrete group with Kazhdan property T , CUBO, A Mathematical Journal: Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal
- Takahiro Sudo, Computing the Laplace transform and the convolution for more functions adjoined , CUBO, A Mathematical Journal: Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal
- Takahiro Sudo, The Flip Crossed Products of the ð¶*-Algebras by Almost Commuting Isometries , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Takahiro Sudo, Computing the inverse Laplace transform for rational functions vanishing at infinity , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- Takahiro Sudo, Continuous or Discontinuous Deformations of C*-Algebras , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- Takahiro Sudo, Real and stable ranks for certain crossed products of Toeplitz algebras , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Takahiro Sudo, Spectral Rank for ð¶*-Algebras , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
Similar Articles
- Ana Fuenzalida, Alicia Labra, Cristian Mallol, On Quasi orthogonal Bernstein Jordan algebras , CUBO, A Mathematical Journal: No. 8 (1992): CUBO, Revista de Matemática
- Raúl Cordovil, David Forge, Gr¨obner and diagonal bases in Orlik-Solomon type algebras , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Ana Laura Fuenzalida, Álgebras de Bernstein de dimensión cuatro y cinco , CUBO, A Mathematical Journal: No. 3 (1987): CUBO, Revista de Matemática
- Avelino Suazo Delgado, Clasificación de las Álgebras de Bernstein de Dimensión 4 , CUBO, A Mathematical Journal: No. 4 (1988): CUBO, Revista de Matemática
- S. S. Dragomir, M. V. Boldea, M. Megan, Inequalities for Chebyshev functional in Banach algebras , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
- Syouji Yano, On the Index of Clifford Algebras of Quadratic Forms , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- Mehdi Dehghanian, Choonkil Park, Yamin Sayyari, Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- M. T. Alcalde, Ricardo Baeza, Cesar Burgueño, Caracterización en Álgebras de Bernstein , CUBO, A Mathematical Journal: No. 4 (1988): CUBO, Revista de Matemática
- Grigori Rozenblum, Nikolay Shirokov, Entire Functions in Weighted ð˜“â‚‚ and Zero Modes of the Pauli Operator with Non-Signdefinite Magnetic Field , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- René Schott, G. Stacey Staples, Operator homology and cohomology in Clifford algebras , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2006-04-01
How to Cite
[1]
T. Sudo, “A covering dimension for ð¶*-algebras”, CUBO, vol. 8, no. 1, pp. 87–96, Apr. 2006.
Issue
Section
Articles
