2016/11/28 by John Lindsay Orr, Orr, John Lindsay
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #math.OA
paper · pdf · doi:10.48550/arxiv.1611.09297
Accepted for publication in the Proceedings of the Edinburgh Mathematical Society
openalex publication_date 2016/11/28 · arxiv created 2017/05/18 · arxiv updated 2017/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Triangular algebras, and maximal triangular algebras in particular, have been objects of interest for over fifty years. Rich families of examples have been studied in the context of many w^*- and C^*-algebras, but there remains a dearth of concrete examples in B(H). In previous work, we described a family of maximal triangular algebras of finite multiplicity. Here, we investigate a related family of maximal triangular algebras with infinite multiplicity, and unearth new asymptotic structure which these algebras exhibit.