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Kraehmer, U. (2008)
Publisher: Springer
Languages: English
Types: Part of book or chapter of book
Subjects: QA
It was shown in [1, 5] that the C*-completion of Podleś’ generic quantum spheres A\ud [4] is independent of the parameter ρ. In the present note we provide a proof that this is not true for the A\ud \ud themselves which remained a conjecture in [1]. As a byproduct we obtain that Aut(A\ud ) = ℂx
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    • [1] P. M. Hajac, R. Matthes, W. Szyman´ski: Quantum Real Projective Space, Disc and Sphere. Algebr. Represent. Theory 6 No. 2 (2003), 169-192
    • [2] A. Joseph: Quantum Groups and Their Primitive Ideals. Springer, 1995
    • [3] A. U. Klimyk, K. Schmu¨dgen: Quantum Groups and Their Representations. Springer, 1997
    • [4] P. Podle´s: Quantum Spheres. Lett. Math. Phys. 14 (1987), 193-202 E-mail address: Instytut Matematyczny Polskiej Akademii Nauk, Ul. Sniadeckich 8, PL-00956 Warszawa
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