Twisting kappa-deformed phase space

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We briefly discuss the twisting procedure applied to the $κ$-deformed space-time. It appears that one can consider only two kinds of such twistings: in space and time directions. For both types of twisitngs we introduce related phase spaces and consider briefly their properties. We discuss in detail the changes of duality relations under the action of twist. The Jordanian twisted space-time and phase space in D=2 are also commented.
LaTeX, 18 pages, revised version, accepted for publication in Journal of Physics A

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