FS-property for $C^*$-algebras
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- by Kazunori Kodaka and Hiroyuki Osaka PDF
- Proc. Amer. Math. Soc. 129 (2001), 999-1003 Request permission
Abstract:
A $C^{\ast }$-algebra $A$ is said to have the FS-property if the set of all self-adjoint elements in $A$ has a dense subset of elements with finite spectrum. We shall show that this property is not stable under taking the minimal $C^{\ast }$-tensor products even in case of separable nuclear $C^{\ast }$-algebras.References
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Additional Information
- Kazunori Kodaka
- Affiliation: Department of Mathematical Sciences, Faculty of Science, Ryukyu University, Nishi- hara-cho, Okinawa 903-0213, Japan
- Email: b985562@sci.u-ryukyu.ac.jp
- Hiroyuki Osaka
- Affiliation: Department of Mathematics, Ritsumeikan University, Kusatsu, Shiga, 525-8577, Japan
- MR Author ID: 290405
- Email: osaka@se.ritsumei.ac.jp
- Received by editor(s): December 5, 1997
- Received by editor(s) in revised form: June 10, 1999
- Published electronically: October 10, 2000
- Additional Notes: The results in this paper were presented at the Fields Institute in the program year “Operator Algebras and Applications” in 1994–1995
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 999-1003
- MSC (1991): Primary 46L05; Secondary 46L80
- DOI: https://doi.org/10.1090/S0002-9939-00-05712-9
- MathSciNet review: 1814139