Journal ArticleDOI
The primitivity of semigroup algebras of free products
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This article is published in Semigroup Forum.The article was published on 1997-12-01. It has received 3 citations till now. The article focuses on the topics: Bicyclic semigroup & Free object.read more
Citations
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Group rings of countable non-abelian locally free groups are primitive
TL;DR: In this article, it was shown that every group ring of a non-abelian locally free group which is the union of an ascending sequence of free groups is primitive, and a necessary and sufficient condition for group rings of proper ascending HNN extensions of free group extensions to be primitive.
Journal ArticleDOI
A property of the complex semigroup algebra of a free monoid
TL;DR: In this article, it was 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.
Journal ArticleDOI
On the l1-algebra of certain monoids
M. J. Crabb,W. D. Munn +1 more
TL;DR: In this article, the authors considered the free monoid M x and the monoid-with-involution MI x on a nonempty set X, and gave an explicit construction for a separating family of continuous star matrix representations of the l 1 -algebra of the monoids and showed that this algebra admits a faithful trace.
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The Banach algebra l1(S)
B.A Barnes,J Duncan +1 more
TL;DR: In this paper, it was shown that there is a natural involution ∗ on the convolution Banach algebra l 1 (S ) such that ( l 1(S ), ∗) has a separating family of finite-dimensional star representations.