A reflexivity problem concerning the $C^*$-algebra $C(X)\otimes \mathscr {B}(\mathscr {H})$
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Abstract:
Let $X$ be a compact Hausdorff space and let $\mathscr {H}$ be a separable Hilbert space. We prove that the group of all order automorphisms of the $C^*$-algebra $C(X)\otimes \mathscr {B}(\mathscr {H})$ is algebraically reflexive.References
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Additional Information
- Lajos Molnár
- Affiliation: Institute of Mathematics, Lajos Kossuth University, 4010 Debrecen, P.O. Box 12, Hungary
- Email: molnarl@math.klte.hu
- Received by editor(s): November 16, 1998
- Received by editor(s) in revised form: May 3, 1999
- Published electronically: September 20, 2000
- Additional Notes: This research was supported from the following sources: 1) Joint Hungarian-Slovene research project supported by OMFB in Hungary and the Ministry of Science and Technology in Slovenia, Reg. No. SLO-2/96, 2) Hungarian National Foundation for Scientific Research (OTKA), Grant No. T–030082 F–019322, 3) a grant from the Ministry of Education, Hungary, Reg. No. FKFP 0304/1997
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 531-537
- MSC (1991): Primary 47B48, 47B49
- DOI: https://doi.org/10.1090/S0002-9939-00-05604-5
- MathSciNet review: 1707156