Non p-norm approximated Groups

Alexander Lubotzky; Izhar Oppenheim

doi:10.1007/s11854-020-0119-2

Non p-norm approximated Groups

Alexander Lubotzky, Izhar Oppenheim

The Hebrew University of Jerusalem, Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	305-321
Number of pages	17
Journal	Journal d'Analyse Mathematique
Volume	141
Issue number	1
DOIs	https://doi.org/10.1007/s11854-020-0119-2
State	Published - 1 Sep 2020

All Science Journal Classification (ASJC) codes

Analysis
General Mathematics

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10.1007/s11854-020-0119-2

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Non p-norm approximated Groups

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