\({C}^{\ast}\)-superrigidity of 2-step nilpotent groups

DOI10.1016/j.aim.2018.09.008zbMath1405.46045arXiv1801.06974OpenAlexW2962766029MaRDI QIDQ1789485

Sven Raum, Caleb Eckhardt

Publication date: 10 October 2018

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

Full work available at URL: https://arxiv.org/abs/1801.06974

zbMATH Keywords

nilpotent groupnoncommutative torustwisted group\({C}^{\ast}\)-algebra\({C}^{\ast}\)-superrigidity

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items

Isomorphisms of algebras of convolution operators ⋮ Classifying right-angled Hecke \(\mathrm{C}^\ast\)-algebras via \(K\)-theoretic invariants ⋮ Complex group rings and group \(\mathrm{C}^*\)-algebras of group extensions ⋮ Twisted Steinberg algebras ⋮ Product rigidity in von Neumann and \(C^*\)-algebras via \(S\)-malleable deformations ⋮ On the isomorphism problem for C∗-algebras of nilpotent Lie groups ⋮ Free nilpotent groups are 𝐶*-superrigid ⋮ New examples of \({W}^\ast\) and \({C}^\ast \)-superrigid groups

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