Non p-norm approximated Groups

Alexander Lubotzky, Izhar Oppenheim

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

It was shown in a previous work of the first-named author with De Chiffre, Glebsky and Thom that there exists a finitely presented group which cannot be approximated by almost-homomorphisms to the unitary groups U(n) equipped with the Frobenius norms (a.k.a. as L2 norm, or the Schatten-2-norm). In his ICM18 lecture, Andreas Thom asks if this result can be extended to general Schatten-p-norms. We show that this is indeed the case for 1 < p < ∞.

Original languageEnglish
Pages (from-to)305-321
Number of pages17
JournalJournal d'Analyse Mathematique
Volume141
Issue number1
DOIs
StatePublished - 1 Sep 2020

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