On minimal ideals in some Banach algebras associated with a locally compact group

Journal of the London Mathematical Society

Volumn 63, Issue 1, 2001, Pages 83-98

  Baker, J W ^a   Filali, M ^b  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b UNIVERSITY OF OULU   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347117397     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610700001733     Document Type: Article

References (21)

1. J. W. BAKER and M. FILALI, 'Minimal ideals in group algebras and their biduals', Math. Proc. Cambridge Philos. Soc. 120 (1996) 475-488.
2. B. A. BARNES, 'The role of minimal idempotents in the representation theory of locally compact groups', Proc. Edinburgh Math. Soc. 23 (1980) 229-238.
3. J. F. BERGLUND, H. D. JUNGHENN and P. MILNES, Analysis on semigroups: function spaces, compactifications, representations (John Wiley, New York, 1989).
4. C. CHOU, 'Minimally weakly almost periodic groups', J. Funct. Anal. 36 (1980) 1-17.
5. J. DIXMIER, Les C* algèbres et leur représentations, 2nd edn (Gauthier-Villars, Paris, 1969).
6. M. FILALI, 'The ideal structure of some Banach algebras', Math. Proc. Cambridge Philos, Soc. 111 (1992) 567-576.
7. M. FILALI, 'Finite dimensional left ideals in algebras associated to a locally compact group', Proc. Amer. Math. Soc. 127 (1999) 2325-2333.
8. S. A. GAAL, Linear analysis and representation theory (Springer, Berlin, 1973).
9. R. GODEMENT, 'Les fonctions de type positif et la théorie des groupes', Trans. Amer. Math. Soc. 63 (1948) 1-84.
10. E. HEWITT and K. A. Ross, Abstract harmonic analysis I (Springer, Berlin, 1963); II (Springer, Berlin, 1970).
11. E. HEWITT and K. A. Ross, Abstract harmonic analysis I (Springer, Berlin, 1963); II (Springer, Berlin, 1970).
12. A. T. LAU, P. MILNES and J. S. PYM, 'Flows on invariant subsets and compactifications of a locally compact group', Coll. Mat. 78 (1989) 267-281.
13. T. W. PALMER, 'Classes of nonabelian, noncompact, locally compact groups', Rocky Mountain J. Math. 8 (1978) 683-741.
14. A. L. T. PATERSON, Amenability (American Mathematical Society, Providence, RI, 1988).
15. ℒscript U signscript c sign and Veech's theorem', Semigroup Forum 59 (1999) 171-174.
16. C. E. RICKART, General theory of Banach algebras (Van Nostrand, Princeton, 1960).
17. A. ROBERT, Introduction to the representation theory of compact and locally compact groups, London Mathematical Society Lecture Note Series 80 (Cambridge University Press, 1983).
18. J. ROSENBLATT, 'A distal property of groups and the growth of connected locally compact groups', Mathematika 26 (1979) 94-98.
19. W. RUPPERT, 'On semigroup compactifications of topological groups', proc. Roy. Irish Acad. Sect. A 79 (1979) 179-200.
20. M. E. TAYLOR, Noncommutative harmonic analysis (American Mathematical Society, Providence, RI, 1986).
21. W. A. VEECH, 'Topological dynamics', Bull. Amer. Math. Soc. 83 (1977) 775-830.