Spectral Rank for 𝐶*-Algebras

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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

𝐶*-Algebra , Rank , Spectrum
  • Takahiro Sudo Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus, Nishihara, Okinawa 903-0213, Japan.
  • Pages: 75–82
  • Date Published: 2008-07-01
  • Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal

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Published

2008-07-01

How to Cite

[1]
T. Sudo, “Spectral Rank for 𝐶*-Algebras”, CUBO, vol. 10, no. 2, pp. 75–82, Jul. 2008.