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Noncommutative Gauge Theory, Seiberg-Witten Map and Morita Equivalence

Mathematical 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