Twisted Burnside theorem for type \(\text{II}_1\) groups: an example.

DOI10.4310/MRL.2006.v13.n5.a4zbMath1143.20026arXivmath/0606161MaRDI QIDQ862050

Alexander Fel'shtyn, Anatoly M. Vershik, Evgenij V. Troitsky

Publication date: 5 February 2007

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606161

zbMATH Keywords

numbers of conjugacy classesautomorphismsirreducible unitary representationsdiscrete groupstwisted conjugacy classesReidemeister numbers

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Geometric group theory (20F65) 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) Fundamental group, presentations, free differential calculus (57M05)

Related Items (14)

Pólya-Carlson dichotomy for dynamical zeta functions and a twisted Burnside-Frobenius theorem ⋮ Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups ⋮ Fixed points and stable images of endomorphisms for the free group of rank two ⋮ Twisted conjugacy classes in nilpotent groups. ⋮ New zeta functions of Reidemeister type and the twisted Burnside-Frobenius theory ⋮ Reidemeister classes and twisted inner representations. ⋮ Reidemeister classes in some weakly branch groups ⋮ Two examples related to the twisted Burnside-Frobenius theory for infinitely generated groups ⋮ Geometry of Reidemeister classes and twisted Burnside theorem ⋮ REIDEMEISTER SPECTRUM FOR METABELIAN GROUPS OF THE FORM Qⁿ ⋊ ℤ AND ℤ[1/pⁿ ⋊ ℤ, p PRIME] ⋮ Twisted Burnside-Frobenius theory for virtually polycyclic groups. ⋮ New directions in Nielsen-Reidemeister theory ⋮ Twisted conjugacy classes in symplectic groups, mapping class groups and braid groups. (With an appendix written jointly with Francois Dahmani) ⋮ Reidemeister classes in lamplighter-type groups

This page was built for publication: Twisted Burnside theorem for type \(\text{II}_1\) groups: an example.