The Gap Between Local Multiplier Algebras of C ∗ -algebras∗

The local multiplier algebra Mloc(A) of a C*-algebra A has the property that Mloc (A) ⊆ Mloc(Mloc(A)). In this paper we show that there is a separable liminal C*-algebra A such that the inclusion is proper.Fil: Argerami, Martin. University of Regina; CanadáFil: Farenick, Douglas. University of Regina; CanadáFil: Massey, Pedro Gustavo. University of Regina; Canadá. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentin