Reidemeister classes and twisted inner representations.

DOI10.1134/S1061920815030024zbMath1346.20036MaRDI QIDQ891361

N. Luchnikov, Alexander Fel'shtyn, Evgenij V. Troitsky

Publication date: 17 November 2015

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

automorphismstwisted conjugacy classesReidemeister classestwisted inner representations

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Automorphisms of infinite groups (20E36) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fixed points and coincidences in algebraic topology (55M20) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (9)

Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups ⋮ New zeta functions of Reidemeister type and the twisted Burnside-Frobenius theory ⋮ Reidemeister classes in some weakly branch groups ⋮ Reidemeister classes, wreath products, and solvability ⋮ Two examples related to the twisted Burnside-Frobenius theory for infinitely generated groups ⋮ Reidemeister classes in some lamplighter-type groups ⋮ Reidemeister classes in lamplighter-type groups ⋮ Twisted Burnside-Frobenius theorem and \(R_\infty\)-property for lamplighter-type groups ⋮ Twisted conjugacy in direct products of groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Twisted conjugacy classes in nilpotent groups.
• Twisted Burnside theorem for type \(\text{II}_1\) groups: an example.
• Group-based cryptography
• Twisted conjugacy classes in saturated weakly branch groups.
• Automorphisms with finite Reidemeister number in residually finite groups.
• New directions in Nielsen-Reidemeister theory
• Inner amenability of groups: definitions and examples
• The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
• On the conjugation representation of a locally compact group
• A Lefschetz fixed-point formula for certain orbifold C*-algebras
• Inner amenability and HNN extensions.
• Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy
• Moyennes invariantes et représentations unitaires
• On rings of operators. IV
• Most automorphisms of a hyperbolic group have very simple dynamics
• TWISTED CONJUGACY CLASSES IN WREATH PRODUCTS
• Geometry of Reidemeister classes and twisted Burnside theorem
• Property Γ and Inner Amenability
• Locally compact groups whose conjugation representations satisfy a Kazhdan type property or have countable support
• Moyennabilité intérieure du groupe F de Thompson
• Dynamical zeta functions, Nielsen theory and Reidemeister torsion
• On C ∗ -Algebras Associated to the Conjugation Representation of a Locally Compact Group
• Twisted Burnside-Frobenius theory for discrete groups
• The Conjugation Representation and Fusionless Extensions
• Groups Covered By Permutable Subsets

This page was built for publication: Reidemeister classes and twisted inner representations.