Fredholm modules for quantum Euclidean spheres
نویسندگان
چکیده
منابع مشابه
Fredholm Modules for Quantum Euclidean Spheres
The quantum Euclidean spheres, S q , are (noncommutative) homogeneous spaces of quantum orthogonal groups, SOq(N). The ∗-algebra A(S q ) of polynomial functions on each of these is given by generators and relations which can be expressed in terms of a self-adjoint, unipotent matrix. We explicitly construct complete sets of generators for the K-theory (by nontrivial self-adjoint idempotents and ...
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We show that the relations which define the algebras of the quantum Euclidean planes Rq can be expressed in terms of projections provided that the unique central element, the radial distance from the origin, is fixed. The resulting reduced algebras without center are the quantum Euclidean spheres SN−1 q . The projections e = e 2 = e are elements in Mat 2n(S N−1 q ), with N = 2n+1 or N = 2n, and...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2004
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(03)00092-5