Morita Equivalence, Picard Groupoids and Noncommutative Field Theories

A. Connes; A. Connes; A. S. Cattaneo; A. Weinstein; B. Jurčo; B. Jurčo; B. V. Fedosov; D. Tamarkin; F. Bayen; H. Bass; H. Bursztyn; H. Bursztyn; H. Bursztyn; H. Bursztyn; H. Omori; M. Bertelson; M. DeWilde; M.A. Rieffel; N. Seiberg; P. Bieliavsky; P. Deligne; R. Nest; R. Nest; R.G. Swan; S. Doplicher; S. Gutt; S. Waldmann; T. Y. Lam; V. Schomerus; W. Thirring

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Morita Equivalence, Picard Groupoids and Noncommutative Field Theories

Authors: A. Connes
A. Connes
A. S. Cattaneo
A. Weinstein
B. Jurčo
B. Jurčo
B. V. Fedosov
D. Tamarkin
F. Bayen
H. Bass
H. Bursztyn
H. Bursztyn
H. Bursztyn
H. Bursztyn
H. Omori
M. Bertelson
M. DeWilde
M.A. Rieffel
N. Seiberg
P. Bieliavsky
P. Deligne
R. Nest
R. Nest
R.G. Swan
S. Doplicher
S. Gutt
S. Waldmann
T. Y. Lam
V. Schomerus
W. Thirring
Publication date: 3 April 2003
Publisher: 'Springer Science and Business Media LLC'
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Abstract

In this article we review recent developments on Morita equivalence of star products and their Picard groups. We point out the relations between noncommutative field theories and deformed vector bundles which give the Morita equivalence bimodules.Comment: Latex2e, 10 pages. Conference Proceeding for the Sendai Meeting 2002. Some typos fixe

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