Generalized Fock spaces and Weyl commutation relations for the Dunkl kernel
نویسندگان
چکیده
منابع مشابه
On the Fock representation of the q-commutation relations
We consider the C*-algebraRq generated by the representation of the q-commutation relations on the twisted Fock space. We construct a canonical unitary U (= U(q)) from the twisted Fock space to the usual Fock space, such that URqU∗ contains the extended Cuntz algebra R0, for all q ∈ (−1, 1). We prove the equality URqU∗ = R0 for q satisfying: q < 1− 2|q|+ 2|q| − 2|q| + · · ·+ 2(−1)k|q|k2 + · · ·...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2004
ISSN: 0030-8730
DOI: 10.2140/pjm.2004.214.379