English

Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy

Operator Algebras 2016-09-07 v1 Functional Analysis Group Theory Representation Theory

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.

Keywords

Cite

@article{arxiv.math/0606191,
  title  = {Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy},
  author = {Evgenij Troitsky},
  journal= {arXiv preprint arXiv:math/0606191},
  year   = {2016}
}

Comments

11 pages, no figures