A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
ALGEBRAS ASSOCIATED WITH A FREE INVERSE MONOID
2008
Journal of the Australian Mathematical Society
Preserved Fulltext
Let S be an ideal of the free inverse monoid on a set X , and let B denote the Banach algebra l 1 (S). It is shown that the following statements are equivalent: B is * -primitive; B is prime; X is infinite. A similar result holds if B is replaced by C[S], the complex semigroup algebra of S. 2000 Mathematics subject classification: 43A20.
doi:10.1017/s1446788708000396
fatcat:rdmuxhllajeknp3wwv5sscdnsi