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Rigidity of Branch Groups Acting on Rooted Trees

✍ Scribed by Yaroslav Lavreniuk; Volodymyr Nekrashevych


Book ID
110327675
Publisher
Springer
Year
2002
Tongue
English
Weight
195 KB
Volume
89
Category
Article
ISSN
0046-5755

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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