Noncommutative Geometry and Topology in Prague

Quantum orbit method in non standard complex projective spaces

Non standard quantum complex projective spaces are a 1-parameter family of coisotropic quotients of standard SU_q(n) . We will discuss how to construct a homemorphism between the leaf space of the underlying Poisson structure and the unitary dual of the quantized C^*-algebra of functions. Results will be obtained in the framework of groupoid quantization.