Spectral Rank for 𝐶*-Algebras

  • Takahiro Sudo Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus, Nishihara, Okinawa 903-0213, Japan.
Keywords: 𝐶*-Algebra, Rank, Spectrum

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.

Published
2008-07-01
How to Cite
Sudo, T. (2008). Spectral Rank for 𝐶*-Algebras. CUBO, A Mathematical Journal, 10(2), 75–82. Retrieved from http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1517