Remarks on the diagonal embedding and strong 1-boundedness

IF 0.9 3区数学 Q2 MATHEMATICS

Documenta Mathematica Pub Date : 2023-09-22 DOI:10.4171/dm/918

Srivatsav Kunnawalkam Elayavalli

引用次数: 4

Abstract

We identify a large class of hyperbolic groups whose von Neumann algebras are not strongly 1-bounded: Sela's hyperbolic towers over $F_2$ subgroups. We also show that any intermediate subalgebra of the diagonal embedding of $L(F_2)$ into its ultrapower doesn't have Property (T).

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关于对角嵌入和强1有界性的注释

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来源期刊

Documenta Mathematica 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.