Zeta Functions Of Discrete Groups Acting On Trees

Simple item page
dc.creatorClair, Bryan
dc.creatorMokhtari-Sharghi, Shahriar
dc.date1999-08-14
dc.date.accessioned2026-07-07T05:30:18Z
dc.date.available2026-07-07T05:30:18Z
dc.descriptionThis paper generalizes Bass' work on zeta functions for uniform tree lattices. Using the theory of von Neumann algebras, machinery is developed to define the zeta function of a discrete group of automorphisms of a bounded degree tree. The main theorems relate the zeta function to determinants of operators defined on edges or vertices of the tree. A zeta function associated to a non-uniform tree lattice with appropriate Hilbert representation is defined. Zeta functions are defined for infinite graphs with a cocompact or finite covolume group action.
dc.description24 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/9908068
dc.identifierhttp://arxiv.org/abs/math/9908068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78951
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.titleZeta Functions Of Discrete Groups Acting On Trees
dc.typetext

Files

Collections

arXiv