The characteristic classes of Morita equivalent star products on symplectic manifolds
Abstract
In this paper we give a complete characterization of Morita equivalent star products on symplectic manifolds in terms of their characteristic classes: two star products and ' on (M,ω) are Morita equivalent if and only if there exists a symplectomorphism :M M such that the relative class t(,*(')) is 2 π -integral. For star products on cotangent bundles, we show that this integrality condition is related to Dirac's quantization condition for magnetic charges.
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