Extensions of operator algebras I

Abstract

We transcribe a portion of the theory of extensions of C*-algebras to general operator algebras. We also include several new general facts about approximately unital ideals in operator algebras and the C*-algebras which they generate.

References in corpus (3)

• Hereditary subalgebras of operator algebras
• Characterizations of essential ideals as operator modules over C*-algebras
• Tensor algebras of C*-correspondences and their C*-envelopes

Cited by in corpus (3)

• Nuclearity-related properties for nonselfadjoint algebras
• Crossed products of operator systems
• Operator algebras with contractive approximate identities, III