I have proved following functors are continuous: 1) $B\otimes_{max}(-)$ for any $C^*$-algebra $B$
2) $B\otimes_{min}(-)$ for exact $C^*$-algebra $B$
3) unitization of $C^*$- algebras.
I talked with my teather yesterday about non-continuous functor. He said that $B\otimes_{min}(-)$ and reduced cross product are not continuous in general. Today he tell me that for $B\otimes_{min}(-)$ I shall look at $B=C^*(G)$, where $G$ is discrete, infinite, hyperbolic, RF, has property T.
Q1:What shall $G$ be? $G=SL(n,Z)$ for $n\geq 3$? Are these groups hyperbolic?
Q2: Can some ones find reference to this?
