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

Abstract

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.

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

References in corpus (1)

• Macroscopic observables and the Born rule