Kazhdan’s Property (T) via Semidefinite Optimization

DOI10.1080/10586458.2014.999149zbMath1391.16031arXiv1411.2488OpenAlexW1515673658WikidataQ61677648 ScholiaQ61677648MaRDI QIDQ2813825

Andreas Thom, Tim Netzer

Publication date: 27 June 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2488

zbMATH Keywords

group theoryfunctional analysisproperty (T)

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Unitary representations of locally compact groups (22D10)

Related Items (6)

Certifying numerical estimates of spectral gaps ⋮ On property (T) for \(\Aut(F_n)\) and \(\mathrm{SL}_n(\mathbb{Z})\) ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ Group algebra criteria for vanishing of cohomology ⋮ Computing Kazhdan Constants by Semidefinite Programming ⋮ \(\Aut(\mathbb{F}_5)\) has property \((T)\)

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Explicit Kazhdan constants for representations of semisimple and arithmetic groups
• Real closed separation theorems and applications to group algebras
• Property \((T)\) for noncommutative universal lattices
• The product replacement algorithm and Kazhdan’s property (T)
• KAZHDAN CONSTANTS FOR SL_n(ℤ)
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Bounded generation and Kazhdan's property (T)

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