Author:
Crabb M. J.,McGregor C. M.
Abstract
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.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. A property of the complex semigroup algebra of a free monoid;Journal of the Australian Mathematical Society;2006-08
2. On the contracted l1-algebra of a 0-bisimple inverse semigroup;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2005-04