Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-28T04:02:38.348Z Has data issue: false hasContentIssue false
  • English
  • Français

Weak Amenability of Group Algebras of Locally Compact Groups

Published online by Cambridge University Press:  20 November 2018

M. Despić  and
F. Ghahramani
M. Despić
Affiliation:
Department of Mathematics and Astronomy, University of Manitoba, Winnipeg, Manitoba, R3T 2N2
F. Ghahramani
Affiliation:
Department of Mathematics and Astronomy, University of Manitoba, Winnipeg, Manitoba, R3T 2N2
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A new proof is given for the weak amenability of the group algebras of locally compact groups.

Keywords

43A2046M20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 2 , 01 June 1994 , pp. 165 - 167
Copyright
Copyright © Canadian Mathematical Society 1994

References

1. Bade, W. G., Curtis, P. C., Jr. and Dales, H. G., Amenability and weak amenability for Beurling andLipschitz algebras, Proc. London Math. Soc. (3) 55(1987), 359–377.Google Scholar
2. Curtis, P. C., Jr. and Loy, R. J., The structure of amenable Banach algebras, J. London Math. Soc. (2) 40(1989), 89–104.Google Scholar
3. Grønbaek, N., Constructions preserving weak amenability, Proc. Centre for Math. Anal., Australia Nat. Univ. 21(1989), 186–202.Google Scholar
4. Johnson, B. E., Cohomology in Banach algebras, Mem. Amer. Math. Soc. 127, 1972.Google Scholar
5. Johnson, B. E., Derivations from L1(G) into L1(G) and L∞(G), Lecture Notes in Math. 1359, Springer, Berlin, 1988,191–198.Google Scholar
6. Johnson, B. E., Weak amenability of group algebras of connected complex semisimple Lie groups, Proc. Amer. Math. Soc (2) 111(1991), 177–185.Google Scholar
7. Johnson, B. E., Weak amenability of group algebras, Bull. London Math. Soc. 23(1991), 281–284.Google Scholar