Pseudo-amenability of Brandt semigroup algebras

Maysam Maysami Sadr

Commentationes Mathematicae Universitatis Carolinae (2009)

  • Volume: 50, Issue: 3, page 413-419
  • ISSN: 0010-2628

Abstract

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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 ℓ 1 ( S ) is pseudo-amenable.

How to cite

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Sadr, Maysam Maysami. "Pseudo-amenability of Brandt semigroup algebras." Commentationes Mathematicae Universitatis Carolinae 50.3 (2009): 413-419. <http://eudml.org/doc/33324>.

@article{Sadr2009,
abstract = {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.},
author = {Sadr, Maysam Maysami},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {pseudo-amenability; Brandt semigroup algebra; amenable group; pseudo-amenability; Brandt semigroup algebra; amenable group},
language = {eng},
number = {3},
pages = {413-419},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Pseudo-amenability of Brandt semigroup algebras},
url = {http://eudml.org/doc/33324},
volume = {50},
year = {2009},
}

TY - JOUR
AU - Sadr, Maysam Maysami
TI - Pseudo-amenability of Brandt semigroup algebras
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2009
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 3
SP - 413
EP - 419
AB - 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.
LA - eng
KW - pseudo-amenability; Brandt semigroup algebra; amenable group; pseudo-amenability; Brandt semigroup algebra; amenable group
UR - http://eudml.org/doc/33324
ER -

References

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  2. Ghahramani F., Loy R.J., 10.1016/S0022-1236(03)00214-3, J. Funct. Anal. 208 (2004), 229--260. MR2034298DOI10.1016/S0022-1236(03)00214-3
  3. Ghahramani F., Loy R.J., Zhang Y., 10.1016/j.jfa.2007.12.011, J. Funct. Anal. 254 (2008), 1776--1810. Zbl1146.46023MR2397875DOI10.1016/j.jfa.2007.12.011
  4. Ghahramani F., Zhang Y., 10.1017/S0305004106009649, Math. Proc. Cambridge Philos. Soc. 142 (2007), 111--123. Zbl1118.46046MR2296395DOI10.1017/S0305004106009649
  5. Howie J.M., An Introduction to Semigroup Theory, Academic Press, London, 1976. Zbl0355.20056MR0466355
  6. Johnson B.E., Cohomology in Banach algebras, Mem. Amer. Math. Soc. 127 (1972), pp 96. Zbl0306.46065MR0374934
  7. Lashkarizadeh Bami M., Samea H., 10.1007/s00233-005-0516-y, Semigroup Forum 71 (2005), 312--322. Zbl1086.43002MR2184061DOI10.1007/s00233-005-0516-y
  8. Runde V., 10.1007/b82937, Lecture Notes in Mathematics, 1774, Springer, Berlin, 2002. Zbl0999.46022MR1874893DOI10.1007/b82937
  9. Sadr M.M., Pourabbas A., Approximate amenability of Banach category algebras with application to semigroup algebras, Semigroup Forum(to appear). MR2534223

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