C.M.S. • Fredericton, NB • June 2010
Meditations on Arens Multiplication
    F.E.J. Linton • Wesleyan Univ. Math/CS Emeritus 
 
   The Argentinian Ignacio Zalduendo had a particularly simple 
 example [1991]
(though it relies on that fragment of the Axiom of Choice given by the Hahn-Banach Theorem): 
start with the convolution algebra A = l1(Z), 
multiplication being given by (a • b)n 
 = p, q:Σp+q=n 
(ap·bq ).