dialkylamines from ethers

[xxxxx]

i once read that a dialkylamine was produced from passing an ether over alumina with ammonia at an elevated temperature. the reaction would probably be thermodynamically favorable but the mechanics of such a reaction confuse me. is this reaction known, regarding reaction conditions and is it general for ethers.

[Rhodium]

In my opinion, it would probably be an S_N2 reaction. The high temperatures and the catalysts are needed due to alkoxides being so terribly bad leaving groups.