English

Building lattices and zeta functions

Group Theory 2019-09-06 v4

Abstract

We introduce the notion of a building lattice generalizing tree lattices. We give a Lefschetz formula and apply it to geometric zeta functions. We further generalize Bass's approach to Ihara zeta functions to the higher dimensional case of a building.

Keywords

Cite

@article{arxiv.1412.3327,
  title  = {Building lattices and zeta functions},
  author = {Anton Deitmar and Ming-Hsuan Kang and Rupert McCallum},
  journal= {arXiv preprint arXiv:1412.3327},
  year   = {2019}
}

Comments

41 pages

R2 v1 2026-06-22T07:26:33.743Z