English

The hyperrigidity of tensor algebras of C$^*$-correspondences

Operator Algebras 2019-11-27 v2 Functional Analysis

Abstract

Given a C^*-correspondence XX, we give necessary and sufficient conditions for the tensor algebra TX+\mathcal T_X^+ to be hyperrigid. In the case where XX is coming from a topological graph we obtain a complete characterization.

Keywords

Cite

@article{arxiv.1905.10332,
  title  = {The hyperrigidity of tensor algebras of C$^*$-correspondences},
  author = {Elias Katsoulis and Christopher Ramsey},
  journal= {arXiv preprint arXiv:1905.10332},
  year   = {2019}
}

Comments

The inclusion in Theorem 3.3(iii) has been corrected, 10 pages