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Non p-norm approximated Groups
- Publication Year :
- 2018
-
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 $L^2$ 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 $1<p< \infty$.<br />Comment: 12 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1807.06790
- Document Type :
- Working Paper