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Paschke's conjecture for the endpoint anisotropic series representations of the free group
Published online by Cambridge University Press: 09 April 2009
Abstract
Let Γ be a free noncommutative group with free generating set A+. Let μ ∈ ℓ1(Γ) be real, symmetric, nonnegative and suppose that supp. Let λ be an endpoint of the spectrum of μ considered as a convolver on ℓ2(Γ). Then λ − μ is in the left kernel of exactly one pure state of the reduced in particular, Paschke's conjecture holds for λ − μ.
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- Copyright © Australian Mathematical Society 2003
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