| Title:
|
Pseudo-amenability of Brandt semigroup algebras (English) |
| Author:
|
Sadr, Maysam Maysami |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
50 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
413-419 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper it is shown that for a Brandt semigroup $S$ over a group $G$ with an arbitrary index set $I$, if $G$ is amenable, then the Banach semigroup algebra $\ell^1(S)$ is pseudo-amenable. (English) |
| Keyword:
|
pseudo-amenability |
| Keyword:
|
Brandt semigroup algebra |
| Keyword:
|
amenable group |
| MSC:
|
43A07 |
| MSC:
|
43A20 |
| MSC:
|
46H20 |
| idZBL:
|
Zbl 1212.43003 |
| idMR:
|
MR2573414 |
| . |
| Date available:
|
2009-09-23T21:34:54Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134913 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Ghahramani F., Loy R.J., Zhang Y.: Generalized notions of amenability II.J. Funct. Anal. 254 (2008), 1776--1810. Zbl 1146.46023, MR 2397875, 10.1016/j.jfa.2007.12.011 |
| Reference:
|
[4] Ghahramani F., Zhang Y.: Pseudo-amenable and pseudo-contractible Banach algebras.Math. Proc. Cambridge Philos. Soc. 142 (2007), 111--123. Zbl 1118.46046, MR 2296395, 10.1017/S0305004106009649 |
| Reference:
|
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| Reference:
|
[6] Johnson B.E.: Cohomology in Banach algebras.Mem. Amer. Math. Soc. 127 (1972), pp 96. Zbl 0306.46065, MR 0374934 |
| Reference:
|
[7] Lashkarizadeh Bami M., Samea H.: Approximate amenability of certain semigroup algebras.Semigroup Forum 71 (2005), 312--322. Zbl 1086.43002, MR 2184061, 10.1007/s00233-005-0516-y |
| Reference:
|
[8] Runde V.: Lectures on amenability.Lecture Notes in Mathematics, 1774, Springer, Berlin, 2002. Zbl 0999.46022, MR 1874893, 10.1007/b82937 |
| Reference:
|
[9] Sadr M.M., Pourabbas A.: Approximate amenability of Banach category algebras with application to semigroup algebras.Semigroup Forum(to appear). MR 2534223 |
| . |
