Generalized permutative representation of Cuntz algebra . I — Generalization of cycle type —
نویسنده
چکیده
We consider a kind of generalization of permutative representation with cycle by Bratteli and Jorgensen. We show their properties, existence, irreducibility and equivalence by using parameter of representation.
منابع مشابه
Generalized permutative representations of the Cuntz algebras . III — Generalization of chain type —
In our previous papers([10, 11]), we introduce a class of representations of the Cuntz algebra ON which is a generalization of permutative representations with cycle by [5, 7, 8]. As application, we have results about quantum field theory([1, 2, 3, 4]), fractal sets([14]) and dynamical systems([13, 15, 16, 17]). We continue to treat chain case in this paper. The remarkable results are that this...
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