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We perform quantization of a model in which gravity is coupled to a circulardust shell in 2+1 spacetime dimensions. Canonical analysis shows that momentumspace of this model is ADS^2-space, and the global chart for it is provided bythe Euler angles. In quantum kinematics, this results in non-commutativity incoordinate space and discreteness of the shell radius in timelike region, whichincludes the collapse point. At the level of quantum dynamics, we findtransition amplitudes between zero and non-zero eigenvalues of the shellradius, which describe the rate of gravitational collapse (bounce). Theirvalues are everywhere finite, which could be interpreted as resolution of thecentral singularity.

Cylindrically symmetric 2+1 gravity in terms of global variables:quantum dynamics