Crabb, M. J. (2009) Algebras Associated With A Free Inverse Monoid. Journal of the Australian Mathematical Society, 86(01), p. 27. (doi: 10.1017/S1446788708000396)
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Publisher's URL: http://dx.doi.org/10.1017/S1446788708000396
Abstract
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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Crabb, Dr Michael |
| Authors: | Crabb, M. J. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of the Australian Mathematical Society |
| ISSN: | 1446-7887 |
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