A large Frensel Lense Solar Concentrator is installed onto the roof a a high typically Sunlit building. This heats one part of the cooling loop, this heat energy is used as a part of a Gas-Exchange cooling system that is used to cool a large volume of otherwise hot air.

The main idea of this is not to replace all electical AC units but to surplant them on very sunny / hot days where Solar Heat is abundant and Electricity not so.

The Hotter it is, the colder the output air will be.

The system being a modified version of the Einstein cycle can run entirely on heat (solar) alone. However I think it would be best to replace the inefficient heat pump with a traditional motor pump (also solar powered).