On the nonexistence of higher twistings

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In this note we show that there are no higher twistings for the Borel cohomology theory associated to G-equivariant K-theory over a point and for a compact Lie group G. Therefore, twistings over a point for this theory are classified by the group H^{1}(BG,Z/2)\x H^{3}(BG,Z)
12 Pages. Submitted to the Journal of Geometry and Physics September 2008

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