On local automorphisms of group algebras

of compact groups

Authors:
Lajos Molnár and Borut Zalar

Journal:
Proc. Amer. Math. Soc. **128** (2000), 93-99

MSC (1991):
Primary 43A15, 43A22, 46H99

Published electronically:
June 30, 1999

MathSciNet review:
1637412

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We show that with few exceptions every local isometric automorphism of the group algebra of a compact metric group 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:
https://doi.org/10.1090/S0002-9939-99-05108-4

Keywords:
Compact group,
group algebra,
isometric automorphism,
local isometric automorphism

Received by editor(s):
March 4, 1998

Published electronically:
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

Article copyright:
© Copyright 1999
American Mathematical Society