English

Fundamental group of $AF$-algebras with finite dimensional trace space

Operator Algebras 2018-04-03 v1

Abstract

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

Keywords

Cite

@article{arxiv.1804.00080,
  title  = {Fundamental group of $AF$-algebras with finite dimensional trace space},
  author = {Takashi Kawahara},
  journal= {arXiv preprint arXiv:1804.00080},
  year   = {2018}
}