Abstract—In this paper, we show that the approximate Connes-amenability and approximate amenability of weighted group algebra ℓ1(G,ω) are the same, where G is a discrete group and ω is a weight function on G .

Index Terms—Connes-amenability, approximate amenability, beurling algebras.

A. Mahmoodi is with the Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran (e-mail: lamis_jomah@yahoo.com).

Cite: Amin Mahmoodi, "A Generalization of the Notion of Connes-Amenability," International Journal of Applied Physics and Mathematics  vol. 2, no. 5, pp. 342-344, 2012.