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Classification and Realizations of Type III Factor Representations of Cuntz–Krieger Algebras Associated with Quasi-Free States

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We completely classify type III factor representations of Cuntz–Krieger algebras associated with quasi-free states up to unitary equivalence. Furthermore, we realize these representations on concrete Hilbert spaces without using GNS construction. Free groups and their type II1 factor representations are used in these realizations.

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  1. College of Science and Engineering Ritsumeikan University, 1-1-1 Noji Higashi, Kusatsu, Shiga, 525-8577, Japan

    Katsunori Kawamura

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  1. Katsunori Kawamura
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Correspondence to Katsunori Kawamura.

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Kawamura, K. Classification and Realizations of Type III Factor Representations of Cuntz–Krieger Algebras Associated with Quasi-Free States. Lett Math Phys 87, 199–207 (2009). https://doi.org/10.1007/s11005-009-0304-9

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  • DOI: https://doi.org/10.1007/s11005-009-0304-9

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