PreprintarXiv licencearXiv
Multiplicativity of the weak Haagerup constant
Abstract
We prove that the weak Haagerup constant is multiplicative with respect to direct products, namely ΛWH(G × H)=ΛWH(G) ΛWH(H) for any locally compact groups G and H. Knudby previously proved the submultiplicative inequality and asked whether equality always holds.
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BibTeX
@misc{arhancet2026multiplicativity,
title = {{Multiplicativity of the weak Haagerup constant}},
author = {Cédric Arhancet},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.35211},
eprint = {2609.35211},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.35211},
}
RIS
TY - UNPB
TI - Multiplicativity of the weak Haagerup constant
AU - Cédric Arhancet
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.35211
UR - https://arxiv.org/abs/2609.35211
AB - We prove that the weak Haagerup constant is multiplicative with respect to direct products, namely Λ_WH(G × H)=Λ_WH(G) Λ_WH(H) for any locally compact groups G and H. Knudby previously proved the submultiplicative inequality and asked whether equality always holds.
ER -