Year: 2026
Type: preprint
Abstract: We prove that the weak Haagerup constant is multiplicative with respect to direct products, namely $Λ_{\mathrm{WH}}(G \times H)=Λ_{\mathrm{WH}}(G) Λ_{\mathrm{WH}}(H)$ for any locally compact groups $G$ and $H$. Knudby previously proved the submultiplicative inequality and asked whether equality always holds.
Source: arXiv (Cornell University)
Author: Arhancet, Cédric
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214791149