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On the Converse of the Theory of Groups Acting on Trees with Inversions

✍ Scribed by Rasheed M. S. Mahmood


Publisher
SP Birkhäuser Verlag Basel
Year
2009
Tongue
English
Weight
294 KB
Volume
6
Category
Article
ISSN
1660-5446

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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