Quantisation commutes with reduction at discrete series representations of semisimple groups

@article{Hochs2007QuantisationCW,
  title={Quantisation commutes with reduction at discrete series representations of semisimple groups},
  author={P. Hochs},
  journal={Advances in Mathematics},
  year={2007},
  volume={222},
  pages={862-919}
}
  • P. Hochs
  • Published 2007
  • Mathematics
  • Advances in Mathematics
  • Abstract Using the analytic assembly map that appears in the Baum–Connes conjecture in noncommutative geometry, we generalise the Guillemin–Sternberg conjecture that ‘quantisation commutes with reduction’ to (discrete series representations of) semisimple groups G with maximal compact subgroups K acting cocompactly on symplectic manifolds. We prove this generalised statement in cases where the image of the momentum map in question lies in the set of strongly elliptic elements g se ∗ , the set… CONTINUE READING
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