Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy

Details Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy

2006-06-08

arxiv.org/abs/math/0606191v1

Funct. Anal. Appl. 40(2006), No.2, 117-125 (Translated from Funkts. Anal. Prilozh. 40 (2006), No.2, 44-54)

Mathematics

Operator Algebras

11 pages, no figures

Scientific paper

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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