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- W3102819012 abstract "Abstract In this paper we show that every non-cycle finite transitive directed graph has a Cuntz–Krieger family whose WOT-closed algebra is $B(mathcal {H})$ . This is accomplished through a new construction that reduces this problem to in-degree 2-regular graphs, which is then treated by applying the periodic Road Colouring Theorem of Béal and Perrin. As a consequence we show that finite disjoint unions of finite transitive directed graphs are exactly those finite graphs which admit self-adjoint free semigroupoid algebras." @default.
- W3102819012 created "2020-11-23" @default.
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- W3102819012 date "2020-03-30" @default.
- W3102819012 modified "2023-09-26" @default.
- W3102819012 title "All finite transitive graphs admit a self-adjoint free semigroupoid algebra" @default.
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- W3102819012 doi "https://doi.org/10.1017/prm.2020.20" @default.
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