  Systematic measurements of temperature dependent magnetization, resistivity
and angle-resolved photoemission spectroscopy (ARPES) at ambient pressure as
well as resistivity under pressures up to 5.25 GPa were conducted on single
crystals of CrAuTe$_4$. Magnetization data suggest that magnetic moments are
aligned antiferromagnetically along the crystallographic $c$-axis below
$T_\textrm{N}$ = 255 K. ARPES measurements show band reconstruction due to the
magnetic ordering. Magnetoresistance data show clear anisotropy, and, at high
fields, quantum oscillations. The Neel temperature decreases monotonically
under pressure, decreasing to $T_\textrm{N}$ = 236 K at 5.22 GPa. The pressure
dependencies of (i) $T_\textrm{N}$, (ii) the residual resistivity ratio, and
(iii) the size and power-law behavior of the low temperature magnetoresistance
all show anomalies near 2 GPa suggesting that there may be a phase transition
(structural, magnetic, and/or electronic) induced by pressure. For pressures
higher than 2 GPa a significantly different quantum oscillation frequency
emerges, consistent with a pressure induced change in the electronic states.
