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A Beurling algebra is semisimple: an elementary proof

Published online by Cambridge University Press:  17 April 2009

S. J. Bhatt  and
H. V. Dedania
S. J. Bhatt
Affiliation:
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar - 388 120, Gujarat, India e-mail: sjb@spu.ernet.in, haresh@spu.ernet.in
H. V. Dedania
Affiliation:
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar - 388 120, Gujarat, India e-mail: sjb@spu.ernet.in, haresh@spu.ernet.in
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Abstract

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The Beurling algebra L1(G,ω)on a locally compact Abelian group G with a measurable weight ω is shown to be semisimple. This gives an elementary proof of a result that is implicit in the work of M.C. White (1991), where the arguments are based on amenable (not necessarily Abelian) groups.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 1 , August 2002 , pp. 91 - 93
Copyright
Copyright © Australian Mathematical Society 2002

References

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