J. Aust. Math. Soc.
81 (2006), 97103

A property of the complex semigroup algebra of a free monoid

M. J. Crabb
Department of Mathematics
University of Glasgow
Glasgow G12 8QW
Scotland
UK
mjc@maths.gla.ac.uk


C. M. McGregor
Department of Mathematics
University of Glasgow
Glasgow G12 8QW
Scotland
UK
cmm@maths.gla.ac.uk



W. D. Munn
Department of Mathematics
University of Glasgow
Glasgow G12 8QW
Scotland
UK
wdm@maths.gla.ac.uk



Abstract

It is shown that the complex semigroup algebra
of a free monoid of rank at least two is
primitive, where
denotes the involution on the algebra induced by
wordreversal on the monoid.

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