Zeta Functions of Discrete Groups Acting
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Bryan Clair; Shahriar Mokhtari-Sharghi
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Article
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2001
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Elsevier Science
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English
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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 ope