Convex Structures Revisited

Abstract

We provide a complete characterisation of extreme points of the space of sofic representations. We also show that the restriction map $Sof(G,P^{\omega })$ to $Sof(H,P^{\omega })$, where $H\subset G$ is not always surjective. The first part of the paper is a continuation of [Pa2] and follows more closely the plan of Nathanial Brown from [Br].

19 pages

References in corpus (2)

• Limits of Hypergraphs, Removal and Regularity Lemmas. A Non-standard Approach
• Blocks in cycles and k-commuting permutations

Cited by in corpus (4)

• Polish Models and Sofic Entropy
• Blocks in cycles and k-commuting permutations
• Sofic Entropy of Gaussian Actions
• Minimal faces and Schur's Lemma for embeddings into R^U