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
- Fernando Levstein, Carolina Maldonado, Generalized quadrangles and subconstituent algebra , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Alain Escassut, Idempotents in an ultrametric Banach algebra , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Peter Danchev, Notes on the Isomorphism and Splitting Problems for Commutative Modular Group Algebras , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): CUBO, A Mathematical Journal
- Laurent Amour, Benoit Grébert, Jean-Claude Guillot, A mathematical model for the Fermi weak interactions , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Colette Anné, Anne-Marie Charbonnel, Bohr-Sommerfeld conditions for several commuting Hamiltonians , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Mercedes Fernández Miranda, Elementos regulares de una C• álgebra , CUBO, A Mathematical Journal: No. 7 (1991): CUBO, Revista de Matemática
- Cristián Mallol, A propos des algèbres pondérables , CUBO, A Mathematical Journal: No. 11 (1995): CUBO, Revista de Matemática
- Ghislain R. Franssens, On the impossibility of the convolution of distributions , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- Maja Fosner, Benjamin Marcen, Nejc Sirovnik, On centralizers of standard operator algebras with involution , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Nejc Sirovnik, On certain functional equation in semiprime rings and standard operator algebras , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): 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
