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• W1986750936 abstract "We study the structure of weakly-closed nonself-adjoint algebras arising from representations of single vertex 2-graphs. These are the algebras generated by 2 isometric tuples which satisfy a certain commutation relation. We show that these algebras have a lower-triangular $3times 3$ form. The left-hand side of this matrix decomposition is a slice of the enveloping von Neumann algebra generated by the 2-graph algebra. We further give necessary and sufficient conditions for these algebras themselves to be von Neumann algebras. The paper concludes with further study of atomic representations." @default.
• W1986750936 created "2016-06-24" @default.
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• W1986750936 date "2015-03-26" @default.
• W1986750936 modified "2023-09-23" @default.
• W1986750936 title "Nonself-adjoint $2$-graph algebras" @default.
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• W1986750936 doi "https://doi.org/10.1090/s0002-9947-2015-06385-5" @default.
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