English

A note on full free product C*-algebras, lifting and quasidiagonality

Operator Algebras 2015-08-14 v1

Abstract

We study lifting properties for full product C*-algebras with amalgamation over C1{\mathbb C}1 and give new proofs for some results of Kirchberg and Pisier. We extend the result of Choi on the quasidiagonality of C(Fn)C^*({\mathbb F}_n), proving that the free product with amalgamation over C1{\mathbb C}1 of a family of unital quasidiagonal C*-algebras is quasidiagonal.

Keywords

Cite

@article{arxiv.1508.03123,
  title  = {A note on full free product C*-algebras, lifting and quasidiagonality},
  author = {Florin P. Boca},
  journal= {arXiv preprint arXiv:1508.03123},
  year   = {2015}
}