The inheritance tracial topological rank zero for centrally large subalgebra

Qingzhai Fan; Xiaochun Fang

The inheritance tracial topological rank zero for centrally large subalgebra

Operator Algebras 2024-05-07 v2

Authors: Qingzhai Fan , Xiaochun Fang

Abstract

Let $A$ be an infinite-dimensional unital simple C*-algebra such that A has $\mu$ - $oz{\rm LLP}$ property for any $\mu\in(0,1)$ . Let $B\subseteq A$ be a centrally large subalgebra of $A$ such that $B$ has tracial topological rank zero. Then $A$ has tracial topological rank zero.

Keywords

C*-algebra tracial topological rank zero centrally large subalgebra μ-ozLLP property simple C*-algebra

Cite

@article{arxiv.2401.06138,
  title  = {The inheritance tracial topological rank zero for centrally large subalgebra},
  author = {Qingzhai Fan and Xiaochun Fang},
  journal= {arXiv preprint arXiv:2401.06138},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2309.08900, arXiv:2203.05700, arXiv:2310.12548, arXiv:2310.04718, arXiv:2206.05036

The inheritance tracial topological rank zero for centrally large subalgebra

Abstract

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