Abstract
This paper examines the axioms of algebraic quantum field theory (AQFT) that aim to characterize the theory as one that implements relativistic causation. I suggest that the spectrum condition (SC), microcausality (MC), and primitive causality axioms (PC), taken individually, fail to fulfill this goal, against what some philosophers have claimed. Instead, I will show that the "local primitive causality" (LPC) condition captures each axiom's advantages. This claim will follow immediately from a construction that makes explicit that SC, MC, and PC, taken together, imply LPC.
