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A New Class of Maximal Triangular Algebras

Proceedings of the Edinburgh Mathematical Society (2018)
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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.