Relative Embeddability of von Neumann Algebras and Amalgamated Free Products

Weichen Gao; Marius Junge; Weichen Gao

Relative Embeddability of von Neumann Algebras and Amalgamated Free Products

Operator Algebras 2021-12-07 v3

Authors: Weichen Gao , Marius Junge , Weichen Gao

Abstract

In this paper we study conditions under which, for an inclusion of finite von Neumann algebras $N \subseteq M$ , we have the reduced amalgamated free product $\ast_N M$ is embeddable into $(R \bar{\otimes} N_1)^\omega$ for some other finite von Neumann algebra $N_1$ , where $R$ is the hyperfinite $\textrm{II}_1$ factor.

Keywords

von neumann algebras relative embeddability amalgamated free products hyperfinite factor operator algebras

Cite

@article{arxiv.2012.07940,
  title  = {Relative Embeddability of von Neumann Algebras and Amalgamated Free Products},
  author = {Weichen Gao and Marius Junge and Weichen Gao},
  journal= {arXiv preprint arXiv:2012.07940},
  year   = {2021}
}

Comments

Main text by Weichen Gao. Appendix by Marius Junge and Weichen Gao. This is a revised version of the original paper containing more recent results and a new appendix by Marius Junge and Weichen Gao

Relative Embeddability of von Neumann Algebras and Amalgamated Free Products

Abstract

Keywords

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