Complete isometries into C*-algebras

2002/03/18 by David P. Blecher, Blecher, David P., Damon M. Hay +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA

paper · pdf · doi:10.48550/arxiv.math/0203182

arxiv created 2002/03/18 · openalex publication_date 2002/03/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give various characterizations of into (not necessarily onto) complete isometries between C^*-algebras, generalizing a classical result of Holsztynski. Our results are related to a natural embedding of the noncommutative Shilov boundary in a second dual.

Citations

• Morita equivalence for c∗-algebras and w∗-algebras
• Subalgebras of C*-algebras

Related

• C*-Algebras Generated by Partial Isometries
• Extensions of C*-algebras by partial isometries
• The K-theory of boundary C*-algebras of symmetric spaces
• Universal C*-algebras generated by doubly non-commuting isometries
• The isomorphism relation for separable C*-algebras