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Faithful, irreducible *-representations for group algebras of free products

Published online by Cambridge University Press:  20 January 2009

M. J. Crabb  and
C. M. McGregor
M. J. Crabb
Affiliation:
Department of Mathematics, University of Glasgow, University Gardens Glasgow G12 8QW, Scotland
C. M. McGregor
Affiliation:
Department of Mathematics, University of Glasgow, University Gardens Glasgow G12 8QW, Scotland
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Let G be the free product of groups A and B, where |A|≥3 and |B|≥2. We construct faithful, irreducible *-representations for the group algebras ℂ[G] and ℓ1(G). The construction gives a faithful, irreducible representation for F[G] when the field F does not have characteristic 2.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 3 , October 1999 , pp. 559 - 574
Copyright
Copyright © Edinburgh Mathematical Society 1999

References

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