Boundary Representations for Operator Algebras

2001/07/30 by Michael A. Dritschel, Scott McCullough, Dritschel, Michael A. +1
Mathematics · #46H35 (Secondary) #46L05 #47A20 #47L30 (Primary) #47L55 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Representation Theory (math.RT) #math.FA #math.OA #math.RT #msc:46H35 #msc:46L05 #msc:47A20 #msc:47L30 #msc:47L55

paper · pdf · doi:10.48550/arxiv.math/0107217

7 pages. Includes instructions for processing in pdfLaTeX

arxiv created 2001/07/30 · openalex publication_date 2001/07/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

All operator algebras have (not necessarily irreducible) boundary representations. A unital operator algebra has enough such boundary representations to generate its C*-envelope.

Citations

• Subalgebras of C*-algebras

Related

• The Choquet boundary of an operator system
• Minimal boundaries for operator algebras
• Boundary representations, geometry of matrix ranges, and C^*-envelopes of finite-dimensional operator systems
• Local boundary representations for local operator systems
• Local boundary representations of locally C*-algebras