English

Stabilising uniform property Gamma

Operator Algebras 2021-02-02 v3

Abstract

We introduce stabilised property Gamma, a C*-algebraic variant of property Gamma which is invariant under stable isomorphism. We then show that simple separable nuclear C*-algebras with stabilised property Gamma and Cu(A)Cu(AZ)\mathrm{Cu}(A) \cong \mathrm{Cu}(A \otimes \mathcal{Z}) absorb the Jiang-Su algebra Z\mathcal{Z} tensorially.

Keywords

Cite

@article{arxiv.2010.05792,
  title  = {Stabilising uniform property Gamma},
  author = {Jorge Castillejos and Samuel Evington},
  journal= {arXiv preprint arXiv:2010.05792},
  year   = {2021}
}

Comments

Proc. Amer. Math. Soc., to appear. Minor changes. Accepted version

R2 v1 2026-06-23T19:16:55.379Z