Hostname: page-component-8448b6f56d-c47g7 Total loading time: 0 Render date: 2024-04-25T06:24:56.260Z Has data issue: false hasContentIssue false
  • English
  • Français

APPROXIMATE WEAK AMENABILITY OF I0(SL(2,ℝ))

Part of: Topological algebras, normed rings and algebras, Banach algebras

Published online by Cambridge University Press:  26 April 2010

POURUS BHARUCHA
POURUS BHARUCHA*
Affiliation:
Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia (email: pourus@gmail.com)
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.

We demonstrate that I0(SL(2,ℝ)) fails to be approximately weakly amenable.

Keywords

approximate amenabilityapproximate weak amenabilityapproximately inneraugmentation ideal

MSC classification

Secondary: 46H20: Structure, classification of topological algebras
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 1 , August 2010 , pp. 18 - 21
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

[1]Dales, H. G., Banach Algebras and Automatic Continuity, London Mathematical Society Monographs, New Series, Vol. 24 (Oxford University Press, New York, 2000).Google Scholar
[2]Dales, H. G., Ghahramani, F. and Grønbæk, N., ‘Derivations into iterated duals of Banach algebras’, Studia Math. 128(1) (1998), 19–54.Google Scholar
[3]Ghahramani, F. and Loy, R. J., ‘Generalized notions of amenability’, J. Funct. Anal. 208(1) (2004), 229–260.CrossRefGoogle Scholar
[4]Johnson, B. E. and White, M. C., ‘A non-weakly amenable augmentation ideal’, Preprint, 2003.Google Scholar
[5]Runde, V., Lectures on Amenability, Lecture Notes in Mathematics, 1774 (Springer, Berlin, 2002).CrossRefGoogle Scholar
[6]Sinclair, A. M., Automatic Continuity of Linear Operators, London Mathematical Society Lecture Note Series, Vol. 21 (Cambridge University Press, Cambridge, 1976).CrossRefGoogle Scholar