Planar System and $w_\infty$ Algebra

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We study the exotic particles symmetry in the background of noncommutative two-dimensional phase-space leading to realize in physicswise the deformed version of $C_λ$-extended Heisenberg algebra and $\om_\infty$ symmetry.
10 pages, Seminar given at South African Institute of Physics Conference, University of Free State in Bloemfontein, 29 June to 2 July 2004. Title changed, discussions extended and some equations corrected. Final version accepted to be published in Modern Physics letters A

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