Complete Positivity of Rieffel's Deformation Quantization by Actions of $\mathbb{R}^d$
Mathematical Physics
2008-11-17 v3 Astrophysics
math.MP
Operator Algebras
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.
Keywords
Cite
@article{arxiv.0809.2206,
title = {Complete Positivity of Rieffel's Deformation Quantization by Actions of $\mathbb{R}^d$},
author = {Daniel Kaschek and Nikolai Neumaier and Stefan Waldmann},
journal= {arXiv preprint arXiv:0809.2206},
year = {2008}
}
Comments
17 pages. New (more precise) title and other minor changes. Final version