Complete Positivity of Rieffel's Deformation Quantization by Actions of $\mathbb{R}^d$

Details Complete Positivity of Rieffel's Deformation Quantization by Actions of $\mathbb{R}^d$ Complete Positivity of Rieffel's Deformation Quantization by Actions of $\mathbb{R}^d$

2008-09-12

arxiv.org/abs/0809.2206v3

Physics

Mathematical Physics

17 pages. New (more precise) title and other minor changes. Final version

Scientific paper

In this paper we consider C*-algebraic deformations a la Rieffel and show
that every state of the undeformed algebra can be deformed into a state of the
deformed algebra in the sense of a continuous field of states. The construction
is explicit and involves a convolution operator with a particular Gauss
function.

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