On the contracted l1-algebra of a 0-bisimple inverse semigroup
Published online by Cambridge University Press: 12 July 2007
Abstract
Let S be a 0-bisimple inverse semigroup and let denote the contracted l1-algebra of S; that is, the Banach algebra l1 (S)/Z, where Z is the ideal spanned by the zero of S. It is shown that, if l1 (G) is primitive for some non-zero maximal subgroup G of S, then is primitive. The same result also holds with primitivity replaced by a stronger condition, here called *-primitivity
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 2 , April 2005 , pp. 285 - 295
- Copyright
- Copyright © Royal Society of Edinburgh 2005
- 2
- Cited by