2006•Journal of the Australian Mathematical SocietyOpen access

A property of the complex semigroup algebra of a free monoid

M. J. Crabb, C. M. McGregor, Walter Douglas Munn

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Abstract

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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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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Available abstract

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.

Key concepts: Monoid, Mathematics, Free monoid, Semigroup, Free algebra, Bicyclic semigroup, Involution (esoterism), Rank (graph theory)

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