Expanders prevent Property (H)

@misc{braga2026expanders,
  title = {{Expanders prevent Property (H)}},
  author = {Bruno de Mendonç Braga and Chris Gartland and Gilles Lancien and Pavlos Motakis and Eva Pernecká and Thomas Schlumprecht},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.22416},
  eprint = {2609.22416},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.22416},
}

TY  - UNPB
TI  - Expanders prevent Property (H)
AU  - Bruno de Mendonç Braga
AU  - Chris Gartland
AU  - Gilles Lancien
AU  - Pavlos Motakis
AU  - Eva Pernecká
AU  - Thomas Schlumprecht
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.22416
UR  - https://arxiv.org/abs/2609.22416
AB  - We show that if a sequence of expander graphs equi-coarsely embeds into a Banach space, then this Banach space fails Kasparov and Yu's Property (H). Consequently, no Banach space with Property (H) can be coarsely universal for all countable groups. We provide a Lean verification of our results.
ER  -