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Primeness results for von Neumann algebras associated with surface braid groups
Journal article   Peer reviewed

Primeness results for von Neumann algebras associated with surface braid groups

Ionut Chifan, Yoshikata Kida and Sujan Pant
International mathematics research notices, Vol.2016(16), pp.4807-4848
2016
DOI: 10.1093/imrn/rnv271
url
https://arxiv.org/pdf/1412.8025View
Open Access

Abstract

In this paper, we introduce a new class of non-amenable groups denoted by ${\bf NC}_1 \cap {\bf Quot}(\cal C_{rss})$ which give rise to prime von Neumann algebras. This means that, for every $\Gamma \in {\bf NC}_1 \cap {\bf Quot}(\cal {C}_{rss}),$ its group von Neumann algebra $L(\Gamma )$ cannot be decomposed as a tensor product of diffuse von Neumann algebras. We show ${\bf NC}_1 \cap {\bf Quot}...

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