Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem

• Autorzy: Alexander Fel'shtyn
• Języki publikacji: EN

Abstrakty

EN

It is proved for Abelian groups that the Reidemeister coincidence number of two endomorphisms ϕ and ψ is equal to the number of coincidence points of ϕ̂ and ψ̂ on the unitary dual, if the Reidemeister number is finite. An affirmative answer to the bitwisted Dehn conjugacy problem for almost polycyclic groups is obtained. Finally, we explain why the Reidemeister numbers are always infinite for injective endomorphisms of Baumslag-Solitar groups.

Kategorie tematyczne

• 55M20: Fixed points and coincidences
• 43A30: Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
• 37C25: Fixed points, periodic points, fixed-point index theory
• 20E45: Conjugacy classes
• 47H10: Fixed-point theorems
• 22D10: Unitary representations of locally compact groups
• 54H25: Fixed-point and coincidence theorems
• 22D25: C * -algebras and W * -algebras in relation to group representations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 85
• Numer: 1
• Strony: 31-42

Daty

wydano

2009

Twórcy

autor

Alexander Fel'shtyn

• Instytut Matematyki, Uniwersytet Szczeciński, ul. Wielkopolska 15, 70-451 Szczecin, Poland
• Boise State University, 1910 University Drive, Boise, ID 83725-155, USA

Identyfikatory

DOI

10.4064/bc85-0-2