Fundamental group of AF-algebras with finite dimensional trace space

2018/03/30 by Takashi Kawahara, Kawahara, Takashi
Mathematics · #47C15 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1804.00080

openalex publication_date 2018/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the realization of fundamental groups of AF-algebras in a certain class. We find the fundametal groups of AF-algebras with finite dimensional trace space which is not realizable as a fundamental group of von Neumann algebras.

Citations

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

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