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$C^*$-algebras generated by projective representations of free nilpotent groups

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Publication:5264675
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DOI10.7900/JOT.2013MAR06.2037zbMath1389.46056arXiv1301.2942OpenAlexW1570834760MaRDI QIDQ5264675

Tron Å. Omland

Publication date: 27 July 2015

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2942


zbMATH Keywords

Heisenberg groupgroup cohomologymultipliersimplicityfree nilpotent grouptwisted group \(C^*\)-algebranoncommutative \(n\)-torusprojective unitary representationtwo-cocycle


Mathematics Subject Classification ID

Cohomology of groups (20J06) Nilpotent groups (20F18) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Projective representations and multipliers (20C25)


Related Items (4)

Smooth lattice orbits of nilpotent groups and strict comparison of projections ⋮ Orthogonal decompositions and twisted isometries ⋮ On reduced twisted group \(C^{\ast}\)-algebras that are simple and/or have a unique trace ⋮ Free nilpotent groups are 𝐶*-superrigid







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