Berezin quantization of noncommutative projective varieties

Andreas Andersson
June 04, 2015
We show that Berezin quantization of certain compact manifolds carries over to the noncommutative world. As an application we consider homogeneous spaces for compact matrix quantum groups which generalize $q$-deformed projective spaces, and we show that these can be obtained as Cuntz-Pimsner algebras constructed solely from the representation theory of the quantum group.