Fundamental group of finite von Neumann algebras with finite dimensional normal trace space

Takashi Kawahara

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arXiv · 1608.06611

Fundamental group of finite von Neumann algebras with finite dimensional normal trace space

Takashi Kawahara

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Abstract

We introduce the fundamental group $F(\mathcal{M})$ of a finite von Neumann algebra $\mathcal{M}$ with finite dimensional normal trace space. The form of $F(\mathcal{M})$ is completely determined. Moreover, there exists a finite von Neumann algebra $\mathcal{M}$ with finite dimensional normal trace space such that $F(\mathcal{M})=G$ for any conceivable groups $G$ as fundamental group.

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Takashi Kawahara. 2016-08-23. Fundamental group of finite von Neumann algebras with finite dimensional normal trace space. https://arxiv.org/abs/1608.06611

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