Injective semigroup-algebras

J. Green

Studia Mathematica (1998)

  • Volume: 131, Issue: 3, page 215-224
  • ISSN: 0039-3223

Abstract

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Semigroups S for which the Banach algebra ℓ 1 ( S ) is injective are investigated and an application to the work of O. Yu. Aristov is described.

How to cite

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Green, J.. "Injective semigroup-algebras." Studia Mathematica 131.3 (1998): 215-224. <http://eudml.org/doc/216577>.

@article{Green1998,
abstract = {Semigroups S for which the Banach algebra $ℓ^1(S)$ is injective are investigated and an application to the work of O. Yu. Aristov is described.},
author = {Green, J.},
journal = {Studia Mathematica},
keywords = {semigroup algebras; injective Banach algebras; Arens regularity; tensor products; product morphism; injective tensor norm; injective -algebras},
language = {eng},
number = {3},
pages = {215-224},
title = {Injective semigroup-algebras},
url = {http://eudml.org/doc/216577},
volume = {131},
year = {1998},
}

TY - JOUR
AU - Green, J.
TI - Injective semigroup-algebras
JO - Studia Mathematica
PY - 1998
VL - 131
IS - 3
SP - 215
EP - 224
AB - Semigroups S for which the Banach algebra $ℓ^1(S)$ is injective are investigated and an application to the work of O. Yu. Aristov is described.
LA - eng
KW - semigroup algebras; injective Banach algebras; Arens regularity; tensor products; product morphism; injective tensor norm; injective -algebras
UR - http://eudml.org/doc/216577
ER -

References

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  1. [1] O. Yu. Aristov, Characterization of strict C*-algebras, Studia Math. 112 (1994), 51-58. 
  2. [2] J. W. Baker and A. Rejali, On the Arens regularity of weighted convolution algebras, J. London Math. Soc. (2) 40 (1989), 535-546. Zbl0705.43003
  3. [3] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, Berlin, 1973. Zbl0271.46039
  4. [4] P. Civin and B. Yood, The second conjugate space of a Banach algebra as an algebra, Pacific J. Math. 11 (1961), 847-870. Zbl0119.10903
  5. [5] A. Defant and K. Floret, Tensor Norms and Operator Ideals, North-Holland, Amsterdam, 1993. Zbl0774.46018
  6. [6] I. N. Herstein, Non-commutative Rings, Math. Assoc. of America, Washington, 1968. 
  7. [7] J. M. Howie, An Introduction to Semigroup Theory, Academic Press, London, 1976. 
  8. [8] B. E. Johnson, Near inclusions for subhomogeneous C*-algebras, Proc. London Math. Soc. (3) 68 (1994), 399-422. Zbl0803.46067
  9. [9] L. Mirsky, Transversal Theory, Academic Press, London, 1971. 
  10. [10] T. W. Palmer, Banach Algebras and the General Theory of *-algebras, Cambridge Univ. Press, Cambridge, 1994. Zbl0809.46052
  11. [11] J. S. Pym, Convolution measure algebras are not usually Arens-regular, Quart. J. Math. Oxford Ser. (2) 25 (1974), 235-240. Zbl0286.46047
  12. [12] N. Th. Varopoulos, Some remarks on Q-algebras, Ann. Inst. Fourier (Grenoble) 22 (1972), 1-11. Zbl0235.46074
  13. [13] N. J. Young, Semigroup algebras having regular multiplication, Studia Math. 47 (1973), 191-196. Zbl0266.43003

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