give someone the air
Also, give someone the brush off or the gate or the old heave-ho. Break off relations with someone, oust someone, snub or jilt someone, especially a lover. For example, John was really upset when Mary gave him the air, or His old friends gave him the brush off, or Mary cried and cried when he gave her the gate, or The company gave him the old heave-ho after only a month. In the first expression, which dates from about 1920, giving air presumably alludes to being blown out. The second, from the first half of the 1900s, alludes to brushing away dust or lint. The third, from about 1900, uses gate in the sense of "an exit." The fourth alludes to the act of heaving a person out, and is sometimes used to mean "to fire someone from a job" (see get the ax). All these are colloquialisms, and all have variations using get, get the air (etc.), meaning "to be snubbed or told to leave," as in After he got the brush off, he didn't know what to do.