The Picard Groupoid in Deformation Quantization |
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| Authors: | Stefan Waldmann |
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| Institution: | (1) Fakultät für Mathematik und Physik, Albert-Ludwigs-Universität Freiburg, Physikalisches Institut, Hermann Herder Straße 3, Germany) |
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| Abstract: | 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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| Keywords: | Deformation quantization Representation theory Morita equivalence Picard groupoid |
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