paper

Positivity in Rieffel's strict deformation quantization

arXiv:0909.2809 · doi:10.1142/9789814304634_0043

Abstract

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.

Contribution to the Proceedings of the ICMP 2009, 6 pages

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