Ideals and structure of operator algebras

Abstract

We continue the study of r-ideals, l-ideals, and HSA's in operator algebras. Some applications are made to the structure of operator algebras, including Wedderburn type theorems for a class of operator algebras. We also consider the one-sided $M$-ideal structure of certain tensor products of operator algebras.

32 pages. To appear. Some errors corrected

References in corpus (5)

• Hereditary subalgebras of operator algebras
• The Calculus of One-Sided $M$-Ideals and Multipliers in Operator Spaces
• Dual operator systems
• One-Sided Projections on C*-algebras
• Weak Expectations and the Injective Envelope

Cited by in corpus (2)

• Operator algebras with contractive approximate identities, III
• Operator algebras with contractive approximate identities: Weak compactness and the spectrum