Injective semigroup-algebras

• Autorzy: J. J. Green
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 131
• Numer: 3
• Strony: 215-224

Daty

wydano

1998

otrzymano

1997-07-14

Twórcy

autor

J. J. Green

• 162 Nottingham St., Pitsmoor, Sheffield, UK

Bibliografia

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