5 papers
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…
Borel asymptotic dimension of the Roller boundary of finite dimensional CAT(0) cube complexes
Koichi Oyakawa
We prove that for any countable finite dimensional CAT(0) cube complex, the Borel median graph on its Roller compactification has the Borel asymptotic dimension bounded from above…
Are Widely Known Findings Easier to Retract?
Shahan Ali Memon, Jevin D. West, Cailin O'Connor
Failures of retraction are common in science. Why do they occur? And what determines whether a retraction is successful? We use data from citation records and Altmetrics to test pr…
Infinite graph product of groups II: Analytic properties
Koichi Oyakawa
We study analytic properties of graph product of finite groups with a hyperbolic defining graph. This is done by studying dynamics on the Bowditch compactification of the extension…
Infinite graph product of groups I: Geometry of the extension graph
Koichi Oyakawa
We introduce the extension graph of graph product of groups and study its geometry. This enables us to study properties of graph product by exploiting large scale geometry of its d…