کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6415105 | 1334935 | 2015 | 47 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Deformation quantization for actions of Qpd Deformation quantization for actions of Qpd](/preview/png/6415105.png)
The main objective of this article is to develop the theory of deformation of Câ-algebras endowed with a group action, from the perspective of non-formal equivariant quantization. This program, initiated in [4], aims to extend Rieffel's deformation theory [27] for more general groups than Rd. In [4], we have constructed such a theory for a class of non-Abelian Lie groups. In the present article, we study the somehow opposite situation of Abelian but non-Lie groups. More specifically, we construct here a deformation theory of Câ-algebras endowed with an action of a finite dimensional vector space over a non-Archimedean local field of characteristic different from 2. At the root of our construction stands the p-adic version of the Weyl quantization introduced by Haran [12] and further extended by Bechata [1] and Unterberger [34].
Journal: Journal of Functional Analysis - Volume 268, Issue 11, 1 June 2015, Pages 3357-3403