A reflexivity problem concerning the -algebra

Author:
Lajos Molnár

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

Published electronically:
September 20, 2000

MathSciNet review:
1707156

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Abstract | References | Similar Articles | Additional Information

Let be a compact Hausdorff space and let be a separable Hilbert space. We prove that the group of all order automorphisms of the -algebra is algebraically reflexive.

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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

DOI:
https://doi.org/10.1090/S0002-9939-00-05604-5

Keywords:
Reflexivity,
order automorphism,
$C^*$-algebra

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

Article copyright:
© Copyright 2000
American Mathematical Society