Noncommutative localization in smooth deformation quantization

In this paper we shall show the equivalence of algebraic and analytic localisation for algebras of smooth deformation quantization for several situations. The proofs are based on old work by Whitney, Malgrange and Tougeron on the commutative algebra of smooth function rings from the 60's and 70...

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Bibliographic Details
Main Authors:	Araujo, Hamilton, Bordemann, Martin, Hurle, Benedikt
Format:	Journal Article
Language:	English
Published:	29-10-2020
Subjects:	Mathematics - Quantum Algebra
Online Access:	Get full text
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Summary:	In this paper we shall show the equivalence of algebraic and analytic localisation for algebras of smooth deformation quantization for several situations. The proofs are based on old work by Whitney, Malgrange and Tougeron on the commutative algebra of smooth function rings from the 60's and 70's.
DOI:	10.48550/arxiv.2010.15701