NONCOMMUTATIVE REAL ALGEBRAIC GEOMETRY OF KAZHDAN’S PROPERTY (T)

DOI10.1017/S1474748014000309zbMath1336.22008arXiv1312.5431MaRDI QIDQ3460405

Narutaka Ozawa

Publication date: 7 January 2016

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5431

zbMATH Keywords

spectral gappositivstellensatzKazhdan's property (T)

Mathematics Subject Classification ID

Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Kazhdan's property (T), the Haagerup property, and generalizations (22D55)

Related Items (9)

Certifying numerical estimates of spectral gaps ⋮ On property (T) for \(\Aut(F_n)\) and \(\mathrm{SL}_n(\mathbb{Z})\) ⋮ Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients ⋮ Arithmetic and dynamics on varieties of Markoff type ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ Group algebra criteria for vanishing of cohomology ⋮ Hilbert’s 17th problem in free skew fields ⋮ Computing Kazhdan Constants by Semidefinite Programming ⋮ \(\Aut(\mathbb{F}_5)\) has property \((T)\)

Cites Work

• Unnamed Item
• About the Connes embedding conjecture
• Minimal projections, integrable representations and property (T)
• On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes
• Property (T) and Kazhdan constants for discrete groups
• Rigidity of commensurators and irreducible lattices
• Real closed separation theorems and applications to group algebras

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