The Picard groupoid in deformation quantization
Waldmann, Stefan
arXiv, 0312118 / Harvested from arXiv
Text on arXiv
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 i^2 = -1 to the *-representation theory of *-algebras over \mathbb{C} 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.
Publié le : 2003-12-05
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics,  53D55 
@article{0312118,
     author = {Waldmann, Stefan},
     title = {The Picard groupoid in deformation quantization},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312118}
}

Waldmann, Stefan. The Picard groupoid in deformation quantization. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312118/