The Picard Groupoid in Deformation Quantization

被引：0
|
作者：
Stefan Waldmann
机构：
[1] Albert-Ludwigs-Universität Freiburg,Fakultät für Mathematik und Physik
[2] Physikalisches Institut,undefined
来源：
Letters in Mathematical Physics | 2004年 / 69卷
关键词：
Deformation quantization; Representation theory; Morita equivalence; Picard groupoid;
D O I：
暂无
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学科分类号：
摘要：
In this Letter we give an overview on recent developments in representation theory of star product algebras. In particular, we relate the *-representation theory of *-algebras over rings C = R(i) with an ordered ring R and i2=−1 to the *-representation theory of *-algebras over and point out some properties of the Picard groupoid corresponding to the notion of strong Morita equivalence. Some Morita invariants are interpreted as arising from actions of this groupoid
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页码：223 / 235
页数：12
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