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

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

2008-06-19

arxiv.org/abs/0806.3119v2

Mathematics

Operator Algebras

11 pages

Scientific paper

10.1007/s11005-009-0304-9

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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