Proceedings of the American Mathematical Society

Author(s): Kazunori Kodaka; Hiroyuki Osaka
Journal: Proc. Amer. Math. Soc. 129 (2001), 999-1003.
MSC (1991): Primary 46L05; Secondary 46L80
Posted: October 10, 2000
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A $C^{\ast }$ -algebra

is said to have the FS-property if the set of all self-adjoint elements in

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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46L05, 46L80

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
Email: osaka@se.ritsumei.ac.jp

DOI: 10.1090/S0002-9939-00-05712-9
PII: S 0002-9939(00)05712-9
Keywords: $C^*$-algebras, FS-property, K-groups, real rank
Received by editor(s): December 5, 1997
Received by editor(s) in revised form: June 10, 1999
Posted: 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 of article: Copyright 2000, American Mathematical Society

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