We investigate the relationship between lowness for Schnorr randomness and Schnorr triviality. We show that a real is low for Schnorr randomness if and only if it is Schnorr trivial and hyperimmune free.
"Hyperimmune-free degrees and Schnorr triviality." J. Symbolic Logic 73 (3) 999 - 1008, September 2008. https://doi.org/10.2178/jsl/1230396761