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Strongly 1-bounded inner amenable groups

Ben Hayes, Srivatsav Kunnawalkam Elayavalli

Abstract

It is shown that finitely presented icc inner amenable groups yield strongly 1-bounded II_1 factors.

Strongly 1-bounded inner amenable groups

Abstract

It is shown that finitely presented icc inner amenable groups yield strongly 1-bounded II_1 factors.
Paper Structure (2 sections, 3 theorems)

This paper contains 2 sections, 3 theorems.

Table of Contents

  1. Introduction
  2. Proof of the main result

Key Result

Theorem 1.1

Let $G$ be a finitely presented icc inner amenable group. Then $L(G)$ is strongly 1-bounded.

Theorems & Definitions (7)

  • Theorem 1.1
  • Proposition 2.1: Consequence of Proposition 5.1 in ElekSzaboDeterminant
  • Theorem 2.2
  • proof
  • Conjecture 2.3
  • Definition 2.4
  • Conjecture 2.5