New tensor products of C*-algebras and characterization of type I C*-algebras as rigidly symmetric C*-algebras

Hun Hee Lee, Ebrahim Samei, Matthew Wiersma

We construct several new classes of bifunctors $(A,B)\mapsto A{\otimes }_{\hat{I}}\pm B$, where $A{\otimes }_{\hat{I}}\pm B$ is a cross norm completion of $A\odot B$ for each pair of C*-algebras $A$ and $B$.…