J. Aust. Math. Soc.  81 (2006), 97-103
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
and
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 word-reversal on the monoid.
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