Real closed separation theorems and applications to group algebras

DOI10.2140/pjm.2013.263.435zbMath1318.14004arXiv1110.5619OpenAlexW2963218709WikidataQ61677674 ScholiaQ61677674MaRDI QIDQ2393601

Tim Netzer, Andreas Thom

Publication date: 8 August 2013

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5619

zbMATH Keywords

group ringreal closed fieldsum of squares\(\ast\)-algebraHahn-Banach separation theorem

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Representations of topological algebras with involution (46K10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

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Null- and positivstellensätze for rationally resolvable ideals ⋮ NONCOMMUTATIVE REAL ALGEBRAIC GEOMETRY OF KAZHDAN’S PROPERTY (T) ⋮ Certifying numerical estimates of spectral gaps ⋮ Facial structure of matrix convex sets ⋮ About the Connes embedding conjecture ⋮ Amenability and uniform Roe algebras ⋮ One-to-one correspondence between generating functionals and cocycles on quantum groups in presence of symmetry ⋮ Kazhdan’s Property (T) via Semidefinite Optimization ⋮ Quadratic modules, 𝐶*-algebras, and free convexity

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