The hyperrigidity of tensor algebras of C${}^{\ast }$-correspondences

Abstract

Given a C${}^{\ast }$-correspondence $X$, we give necessary and sufficient conditions for the tensor algebra ${\mathcal{T}}_X^{+}$ to be hyperrigid. In the case where $X$ is coming from a topological graph we obtain a complete characterization.

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