Some remarks on the real rank of non-unital C*-algebras
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- by Takashi Sakamoto PDF
- Proc. Amer. Math. Soc. 127 (1999), 205-210 Request permission
Abstract:
For a non-unital C$^{*}$-algebra $A$, let $A^{\sim }$ be the C$^{*}$-algebra obtained from $A$ by adjoining an identity. In this paper we show that \[ \mathrm {RR}( C_{0}(X) \otimes A)=\mathrm {RR} ( C_{0}(X) \otimes A^{\sim }) ,\] where $X$ is a locally compact Hausdorff space with $\mathrm {RR}( C_{0}(X) ) \le 1$.References
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Additional Information
- Takashi Sakamoto
- Affiliation: Department of Mathematics and Informatics, Graduate School of Science and Technology, Chiba University, 1-33, Yayoi-Cho, Inage-Ku, Chiba 263-8522, Japan
- Email: msakamot@math.s.chiba-u.ac.jp
- Received by editor(s): May 9, 1997
- Communicated by: David R. Larson
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 205-210
- MSC (1991): Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-99-05030-3
- MathSciNet review: 1623052