Decay to zero of matrix coefficients at Adjoint infinity

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We prove that if a unitary representation of a connected Lie group has the property that no nonozero vector is fixed by any nontrival normal connected subgroup, then the matrix coefficients decay to zero at Adjoint-infinity.
8 pages, 0 figures http://www.math.umn.edu/~adams/Matrixdecay/ no plans to publish

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