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arxiv: 0909.2809 · v1 · pith:2BG42YO4new · submitted 2009-09-15 · 🧮 math-ph · math.MP

Positivity in Rieffel's strict deformation quantization

classification 🧮 math-ph math.MP
keywords omegaquantizationdeformationrieffelactionsalgebracontinuousevery
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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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