Positivity in Rieffel's strict deformation quantization

Details Positivity in Rieffel's strict deformation quantization Positivity in Rieffel's strict deformation quantization

2009-09-15

arxiv.org/abs/0909.2809v1

Physics

Mathematical Physics

Contribution to the Proceedings of the ICMP 2009, 6 pages

Scientific paper

We review a recent result on Rieffel's deformation quantization by actions of
R^d: it is shown that for every state omega_0 of the undeformed C*-algebra A_0
there is a continuous section of states omega(hbar) through omega_0. We outline
the physical interpretation in terms of quantization.

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