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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174145In 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 versionMathematical PhysicsAstrophysicsOperator Algebras53D55, 46L87, 81R60, 46L65Complete Positivity of Rieffel's Deformation Quantization by Actions of $\mathbb{R}^d$text