On the l1-algebra of certain monoids

Autor: W. D. Munn, M. J. Crabb
Rok vydání: 1998
Předmět:
Zdroj: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 128:1023-1031
ISSN: 1473-7124
0308-2105
DOI: 10.1017/s0308210500030043
Popis: The monoids considered are the free monoid Mx and the free monoid-with-involution MIx on a nonempty set X. In each case, relative to a simply-defined involution, an explicit construction is given for a separating family of continuous star matrix representations of the l1-algebra of the monoid and it is shown that this algebra admits a faithful trace. The results are based on earlier work by M. J. Crabb et al. concerning the complex semigroup algebras of Mx and MIx.
Databáze: OpenAIRE