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On local automorphisms of group algebras of compact groups

Author(s): Lajos Molnár; Borut Zalar
Journal: Proc. Amer. Math. Soc. 128 (2000), 93-99.
MSC (1991): Primary 43A15, 43A22, 46H99
Posted: June 30, 1999
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Abstract: We show that with few exceptions every local isometric automorphism of the group algebra $L^p(G)$ of a compact metric group $G$ is an isometric automorphism.

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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

Borut Zalar
Affiliation: Department of Basic Sciences, Faculty of Civil Engineering, University of Maribor, Smetanova 17, 2000 Maribor, Slovenia
Email: borut.zalar@uni-mb.si

DOI: 10.1090/S0002-9939-99-05108-4
PII: S 0002-9939(99)05108-4
Keywords: Compact group, group algebra, isometric automorphism, local isometric automorphism
Received by editor(s): March 4, 1998
Posted: June 30, 1999
Additional Notes: This research was supported by the Joint Hungarian-Slovene research project supported by OMFB in Hungary and the Ministry of Science and Technology in Slovenia, Reg. No. SLO-2/96. The first author was supported in part by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. T--016846 F--019322, and by a grant from the Ministry of Education, Hungary, Reg. No. FKFP 0304/1997. The second author was supported in part by a grant from the Ministry of Science and Technology, Slovenia
Communicated by: David R. Larson
Copyright of article: Copyright 1999, American Mathematical Society

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