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  • Operator algebras associated with graphs and categories of paths : a survey [Elektronski vir]
    Bukoski, Juliana ; Singla, Sushil
    Many interesting examples of operator algebras, both self-adjoint and non-self-adjoint, can be constructed from directed graphs. In this survey, we overview the construction of -algebras from ... directed graphs and from two generalizations of graphs: higher rank graphs and categories of paths. We also look at free semigroupoid algebras generated from graphs and higher rank graphs, with an emphasis on the left regular free semigroupoid algebra. We give examples of specific graphs and the algebras they generate, and we discuss properties such as semisimplicity and reflexivity. Finally, we propose a new construction: applying the left regular free semigroupoid construction to categories of paths.
    Vir: Operators, semigroups, algebras and function theory : volume from IWOTA Lancaster 2021 [Elektronski vir] (Str. 91-114)
    Vrsta gradiva - prispevek na konferenci ; neleposlovje za odrasle
    Leto - 2023
    Jezik - angleški
    COBISS.SI-ID - 179161603

    Povezava(-e):

    https://doi.org/10.1007/978-3-031-38020-4_5
    https://link.springer.com/chapter/10.1007/978-3-031-38020-4_5
    DOI

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