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Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy
Authors:E V Troitsky
Institution:(1) Department of Mathematics and Mechanics, Moscow State University, Russia
Abstract:The paper consists of two parts. In the first part, we prove a noncommutative analog of the Riesz(— Markov—Kakutani) theorem on representation of functionals on an algebra of continuous functions by regular measures on the underlying space. In the second part, using this result, we prove a weak version of a Burnside type theorem on twisted conjugacy for arbitrary discrete groups.
Keywords:discrete group  Reidemeister number  twisted conjugacy class  Burnside—  Frobenius theorem  Riesz—  Markov—  Kakutani theorem  Fourier—  Stieltjes algebra  Dauns—  Hofmann theorem  Glimm spectrum
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