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Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy

Evgenij Troitsky
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Abstract

The present paper consists of two parts. In the first part, we prove a noncommutative analogue 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 Burnside type theorem for twisted conjugacy for arbitrary discrete groups.

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Evgenij Troitsky. 2006-06-08. Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy. https://arxiv.org/abs/math/0606191

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