Spectral Rank for ð¶*-Algebras
-
Takahiro Sudo
sudo@math.u-ryukyu.ac.jp
Downloads
Abstract
We introduce a notion of dimension for C*-algebras that we call spectral rank, based on spectrums of generators of C*-algebras. We study some basic properties for this new rank and establish its fundamental theory.
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, A covering dimension for ð¶*-algebras , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
Similar Articles
- Mohadeseh Rostamani, Shirin Hejazian, Maps preserving Fredholm or semi-Fredholm elements relative to some ideal , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- Irena Kosi-Ulbl, Joso Vukman, An identity related to derivations of standard operator algebras and semisimple H∗ -algebras , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): 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
- Rodolfo Baeza, On nuclear Bernstein algebras , CUBO, A Mathematical Journal: No. 6 (1990): 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
- M. Sabet, R. G. Sanati, Topological algebras with subadditive boundedness radius , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Ippei Ichigi, Katsumi Shimomura, The Modulo Two Homotopy Groups of the ð¿â‚‚-Localization of the Ravenel Spectrum , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Rubén A. Hidalgo, A sufficiently complicated noded Schottky group of rank three , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Violeta Petkova, Spectral results for operators commuting with translations on Banach spaces of sequences on Zᴷ and Z⺠, CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): 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
2008-07-01
How to Cite
[1]
T. Sudo, “Spectral Rank for ð¶*-Algebras”, CUBO, vol. 10, no. 2, pp. 75–82, Jul. 2008.
Issue
Section
Articles