Peace officers have the authority to follow suspects into private property if directly related to an ongoing pursuit. Entry related to investigations or other projects not in a direct pursuit of a suspect require a warrant.

Peace officers have the authority to enter the public area of a private facility, such as the public area of a club or restaurant, at all times the facility is open to the public. Private areas of the facility require permission of the facility manager or a warrant.
12.15 Probable Cause & Plain View still applies when an officer is entering a facility for hot pursuit or entering the public area of a private facility.

NOTES
- This includes multiple rooms where a suspect could reasonably have ran to, such as several apartments within an apartment complex.