Let Γ be a free noncommutative group with free generating set A+. Let μ ∈ l1(Γ) be real, symmetric, nonnegative and suppose that supp(μ) = A+ ∪ A+-1. 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 C*reg (Γ); in particular, Paschke's conjecture holds for λ - μ.

Kuhn, M., Steger, T. (2003). Paschke's conjecture for the endpoint anisotropic series representations of the free group. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 74(2), 173-183 [10.1017/s1446788700003232].

Paschke's conjecture for the endpoint anisotropic series representations of the free group

KUHN, MARIA GABRIELLA;
2003

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(μ) = A+ ∪ A+-1. 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 C*reg (Γ); in particular, Paschke's conjecture holds for λ - μ.
Articolo in rivista - Articolo scientifico
Free non-abelian group; irreducible unitary representation; pure state
English
2003
74
2
173
183
none
Kuhn, M., Steger, T. (2003). Paschke's conjecture for the endpoint anisotropic series representations of the free group. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 74(2), 173-183 [10.1017/s1446788700003232].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/18657
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