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- W2950068987 abstract "We investigate the factor types of the extremal KMS states for the preferred dynamics on the Toeplitz algebra and the Cuntz--Krieger algebra of a strongly connected finite $k$-graph. For inverse temperatures above 1, all of the extremal KMS states are of type I$_infty$. At inverse temperature 1, there is a dichotomy: if the $k$-graph is a simple $k$-dimensional cycle, we obtain a finite type I factor; otherwise we obtain a type III factor, whose Connes invariant we compute in terms of the spectral radii of the coordinate matrices and the degrees of cycles in the graph." @default.
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- W2950068987 date "2014-09-23" @default.
- W2950068987 modified "2023-10-03" @default.
- W2950068987 title "von Neuman algebras of strongly connected higher-rank graphs" @default.
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