MINIMAL IDEALS IN GROUP-ALGEBRAS AND THEIR BIDUALS

Authors
BAKER JW FILALI M
Citation
Jw. Baker et M. Filali, MINIMAL IDEALS IN GROUP-ALGEBRAS AND THEIR BIDUALS, Mathematical proceedings of the Cambridge Philosophical Society, 120, 1996, pp. 475-488
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematical proceedings of the Cambridge Philosophical Society → ACNP
ISSN journal
03050041
Volume
120
Year of publication
1996
Part
3
Pages
475 - 488
Database
ISI
SICI code
0305-0041(1996)120:<475:MIIGAT>2.0.ZU;2-U
Abstract
Let G be a locally compact group and F a left introverted subalgebra o f C(G). For each of the algebras L(1)(G),M(G), F and L(infinity)(G)* we determine the finite-dimensional minimal left ideals of the algebra (if any); in some cases we also determine the finite-dimensional mini mal two-sided ideals, and in certain cases show that all minimal ideal s of the algebra are finite-dimensional.