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C*-superrigidity of 2-step nilpotent groups
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 22018 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 338, p. 175-195Article in journal (Refereed) Published
Abstract [en]

We show that torsion-free finitely generated nilpotent groups are characterised by their group C*-algebras and we additionally recover their nilpotency class as well as the subquotients of the upper central series. We then use a C*-bundle decomposition and apply K-theoretic methods based on noncommutative tori to prove that every torsion-free finitely generated 2-step nilpotent group can be recovered from its group C*-algebra.

Place, publisher, year, edition, pages
2018. Vol. 338, p. 175-195
Keywords [en]
C*-superrigidity, Nilpotent group, Noncommutative torus, Twisted group, C*-algebra
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-162094DOI: 10.1016/j.aim.2018.09.008ISI: 000447961200004OAI: oai:DiVA.org:su-162094DiVA, id: diva2:1264374
Available from: 2018-11-20 Created: 2018-11-20 Last updated: 2018-11-20Bibliographically approved

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