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arXiv · 0806.3119

Classification and realizations of type III factor representations of Cuntz-Krieger algebras associated with quasi-free states

Katsunori Kawamura
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Abstract

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 ${\rm II}_{1}$ factor representations are used in these realizations.

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Katsunori Kawamura. 2009-02-25. Classification and realizations of type III factor representations of Cuntz-Krieger algebras associated with quasi-free states. https://doi.org/10.1007/s11005-009-0304-9

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