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Noncommutative Gauge Theory, Seiberg-Witten Map and Morita EquivalenceMathematical Physics & Probability
|Speaker: ||Peter Schupp, University of Munich|
|Location: ||693 Kerr|
|Start time: ||Tue, Oct 16 2001, 4:10PM|
Global properties of noncommutative gauge theories
are studied in the framework of deformation quantization.
Local invertible covariantizing maps (which are closely
related to the Seiberg-Witten map) lead naturally to the
notion of a noncommutative vector bundle with noncommutative
transition functions. We introduce the space of sections of
such a bundle and show that it is (as expected) a projective
module. The local covariantizing maps define a new star product
which is shown to be Morita equivalent to the original one.
Host: Wolfgang Spitzer