Geodesic
Noncommutative Riesz Theorem and Weak Burnside Type Theorem on Twisted Conjugacy
Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 2, pp. 44-54

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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. 
@article{FAA_2006_40_2_a4,
     author = {E. V. Troitskii},
     title = {Noncommutative {Riesz} {Theorem} and {Weak} {Burnside} {Type} {Theorem} on {Twisted} {Conjugacy}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {44--54},
     publisher = {mathdoc},
     volume = {40},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2006_40_2_a4/}
}
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E. V. Troitskii. Noncommutative Riesz Theorem and Weak Burnside Type Theorem on Twisted Conjugacy. Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 2, pp. 44-54. http://geodesic.mathdoc.fr/item/FAA_2006_40_2_a4/