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Zeta functions of discrete self-similar sets

✍ Scribed by Driss Essouabri; Ben Lichtin


Book ID
119183707
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
471 KB
Volume
232
Category
Article
ISSN
0001-8708

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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