One-sided ideals and right cancellation in the second dual of the group algebra and similar algebras

• Autores: Mahmoud Filali, Pekka Salmi
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 75, Nº 1, 2007, págs. 35-46
• Idioma: inglés
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• Resumen

  • The following results are proved for a non-compact, locally compact group G: the dimension of every non-trivial right ideal in L1(G)** (equipped with the first Arens product) is at least , where (G) is the minimal number of compact sets required to cover G; there exist left ideals in L1(G)** and in LUC(G)* with trivial intersections, and the linear span of right-cancellable elements is weak*-dense in the annihilator of C0(G) in LUC(G)* and in the annihilator of (the L-functions that vanish at infinity) in L(G)*. The same results are proved for weighted algebras when the weight function is diagonally bounded