When is the second local multiplier algebra of a C*-algebra equal to the first?

Abstract

We discuss necessary as well as sufficient conditions for the second iterated local multiplier algebra of a separable C*-algebra to agree with the first.

Revised version with main result in Section 4 generalised from unital to quasicentral C*-algebras. Four references added

References in corpus (4)

• Injective Envelopes of $C^{\ast }$-algebras as Operator Modules
• Injective envelopes and local multiplier algebras of C*-algebras
• Maximal C*-algebras of quotients and injective envelopes of C*-algebras
• Injective Envelopes and Local Multiplier Algebras of Some Spatial Continuous Trace C*-Algebras

Cited by in corpus (2)

• Injective Envelopes and Local Multiplier Algebras of Some Spatial Continuous Trace C*-Algebras
• The second local multiplier algebra of a separable C*-algebra