Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy

DOI10.1007/s10688-006-0018-zzbMath1149.43004arXivmath/0606191OpenAlexW2014861315MaRDI QIDQ2498293

Evgenij V. Troitsky

Publication date: 16 August 2006

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606191

zbMATH Keywords

discrete groupFourier-Stieltjes algebraReidemeister numbertwisted conjugacy classBurnside-Frobenius theoremDauns-Hofmann theoremGlimm spectrumRiesz-Markov-Kakutani theorem

Mathematics Subject Classification ID

Topological methods in group theory (57M07) General theory of (C^*)-algebras (46L05) Automorphisms of infinite groups (20E36) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (7)

Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups ⋮ New zeta functions of Reidemeister type and the twisted Burnside-Frobenius theory ⋮ Reidemeister classes and twisted inner representations. ⋮ Two examples related to the twisted Burnside-Frobenius theory for infinitely generated groups ⋮ Twisted Burnside-Frobenius theory for virtually polycyclic groups. ⋮ New directions in Nielsen-Reidemeister theory ⋮ Reidemeister classes in lamplighter-type groups

Cites Work

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• The structure of algebras of operator fields
• The Selberg-Arthur trace formula. Based on lectures by James Arthur
• Lectures on Nielsen fixed point theory
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• Representation of rings by sections

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