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math.OA2025
Strong solidity classification of Coxeter groups
Martín Blufstein, Katherine Goldman, Koichi Oyakawa
We prove the dichotomy that every Coxeter group either has a strongly solid group von Neumann algebra or contains the product of an infinite cyclic group and a free group of rank 2…
math.CO2025
Boundary rigidity of systolic and Helly complexes
Martín Blufstein, Jérémie Chalopin, Victor Chepoi
In this article, we prove that finite (weakly) systolic and Helly complexes can be reconstructed from their boundary distances (computed in their 1-skeleta). Furthermore, Helly com…