Zeta Functions Of Discrete Groups Acting On Trees

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This 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.
24 pages, 2 figures

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Group Theory, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/78951

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9908068
 http://arxiv.org/abs/math/9908068

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arXiv