Tensor products of type III factor representations of Cuntz-Krieger algebras
نویسنده
چکیده
We introduced a non-symmetric tensor product of any two states or any two representations of Cuntz-Krieger algebras associated with a certain non-cocommutative comultiplication in previous our work. In this paper, we show that a certain set of KMS states is closed with respect to the tensor product. From this, we obtain formulae of tensor product of type III factor representations of Cuntz-Krieger algebras which is different from results of the tensor product of factors of type III. Mathematics Subject Classifications (2000). 46K10, 46L30, 46L35.
منابع مشابه
Classification and realizations of type III factor representations of Cuntz-Krieger algebras associated with quasi-free states
We completely classify type III factor representations of CuntzKrieger 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. Mathematics Subject Classification (2000). 46K10, 46L30.
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