Displaying similar documents to “Some groups whose reduced C * -algebra is simple”

The size of characters of compact Lie groups

Kathryn Hare (1998)

Studia Mathematica

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Pointwise upper bounds for characters of compact, connected, simple Lie groups are obtained which enable one to prove that if μ is any central, continuous measure and n exceeds half the dimension of the Lie group, then μ n L 1 . When μ is a continuous, orbital measure then μ n is seen to belong to L 2 . Lower bounds on the p-norms of characters are also obtained, and are used to show that, as in the abelian case, m-fold products of Sidon sets are not p-Sidon if p < 2m/(m+1).

Independence in l -groups

Bohumil Šmarda (1999)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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