Amenability properties of the centres of group algebras

Journal of Functional Analysis

Volumn 256, Issue 5, 2009, Pages 1544-1564

  Azimifard, Ahmadreza ^a   Samei, Ebrahim ^b   Spronk, Nico ^c  

^a FIELDS INSTITUTE   (Canada)

^b UNIVERSITY OF SASKATCHEWAN   (Canada)

^c UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Amenability; Compact group; Group algebra

Indexed keywords

EID: 58549099894     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2008.11.026     Document Type: Article

References (26)

1. Azimifard A. On α-amenability of hypergroups. Monatsh. Math. 155 (2008) 1-13
2. Bade W.G., Curtis P.C., and Dales H.G. Amenability and weak amenability for Beurling and Lipschitz algebras. Proc. London Math. Soc. 55 (1987) 359-377
3. Bloom W.R., and Heyer H. Harmonic Analysis of Probability Measures and hypergroups. de Gruyter Stud. Math. vol. 20 (1995), de Gruyter
4. Folland G.B. A Course in Abstract Harmonic Analysis. Stud. Adv. Math. (1995), CRC Press
5. Ghahramni F., and Zhang Y. Pseudo-amenable and pseudo-contractible Banach algebras. Math. Proc. Cambridge Philos. Soc. 142 (2007) 111-123
6. M. Ghandehari, H. Hatami, S. Spronk, Amenability constants for semilattice algebras, Semigroup Forum, in press, DOI: 10.1007/s00233-008-9115-z, see arXiv:0705.4277
7. Graham C.C., and Schreiber B.M. Bimeasure algebras on LCA groups. Pacific J. Math. 115 (1984) 91-127
8. Grosser S., and Moskowitz M. Compactness conditions in topological groups. J. Reine Angew. Math. 246 (1971) 1-40
9. Hewitt E., and Ross K.A. Abstract Harmonic Analysis II. Grundlehren Math. Wiss. vol. 152 (1970), Springer, New York
10. Hewitt E., and Ross K.A. Abstract Harmonic Analysis I. Grundlehren Math. Wiss. second ed. vol. 115 (1979), Springer, New York
11. Hulanicki A. On positive functionals on a group algebra multiplicative on a subalgebra. Studia Math. 37 (1971) 163-171
12. Jewett R.I. Spaces with an abstract convolution of measures. Adv. Math. 18 (1975) 1-101
13. Johnson B.E. Cohomology in Banach algebras. Mem. Amer. Math. Soc. vol. 127 (1972), American Math. Soc.
14. Johnson B.E. Approximate diagonals and cohomology of certain annihilator algebras. Amer. J. Math. 94 (1972) 685-698
15. Johnson B.E. Non-amenability of the Fourier algebra of a compact group. J. London Math. Soc. 50 (1994) 361-374
16. Katznelson Y. An Introduction to Harmonic Analysis (2004), Cambridge Univ. Press
17. Lasser R. Primary ideals in centers of group algebras. Math. Ann. 229 (1977) 53-58
18. Liukkonen J., and Mosak R. Harmonic analysis and centers of group algebras. Trans. Amer. Math. Soc. 195 (1974) 147-163
19. Moore C.C. Groups with finite dimensional irreducible representations. Trans. Amer. Math. Soc. 166 (1972) 401-410
20. - groups and their representations. Trans. Amer. Math. Soc. 163 (1972) 277-310
21. Mosak R.D. Ditkin's condition and primary ideals in central Beurling algebras. Monatsh. Math. 85 (1978) 115-124
22. Price J.F. Lie Groups and Compact Groups. London Math. Soc. Lecture Note Ser. vol. 25 (1977), Cambridge Univ. Press
23. Reiter H., and Stegeman J.D. Classical Harmonic Analysis and Locally Compact Groups. London Math. Soc. Monogr. Ser. vol. 22 (2000), Oxford
24. Rider D. Central idempotent measures on compact groups. Trans. Amer. Math. Soc. 186 (1973) 459-479
25. Samei E. Hyper-Tauberian algebras and weak amenability of Figà-Talamanca-Herz algebras. J. Funct. Anal. 231 (2006) 195-220
26. Stegmeir U. Centers of group algebras. Math. Ann. 243 (1979) 11-16