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The structure of certain group C*-algebras

Published online by Cambridge University Press:  17 April 2009

Milan Pahor
Milan Pahor
Affiliation:
Department of Mathematics, The University of New South Wales, Kensington NSW 2033, Australia
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Abstract

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Let G be a separable locally compact group which admits a non-trivial compact normal subgroup. It is shown that the group C*-algebra C*(G) of G may be decomposed as a direct sum of ideals whose structure is determined up to *-isomorphism. Applications are given to Type 1, [FD]− groups; in particular it is shown that the group C*-algebra of such a group is a direct sum of homogeneous C*-algebras.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 1 , February 1993 , pp. 169 - 174
Copyright
Copyright © Australian Mathematical Society 1993

References

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