I will just summarize myself...
Adobe media server supports rtmp and HTTP(HLS and HDS)..
for rtmp streaming the swf running in a Flash player is the standard interface...that flash player may be an activeX control/plugin in your browser or may be a standalone player downloaded from adobe website...Chrome web browser however users a slightly different( PPAPI based) flash player(which is different from Adobe flash player) and is developed and maintained by google.
For HLS and HDS, you can either use special players(i.e swfs)(Flash based) developed Adobe by Adobe e.g Strobe meida player(Open Source Media Framework Blog | Adobe’s free and open source media playback system) or you can use players like jwplayer(Video Player Download | JW Player Online Video Player)... Incidentally jwplayer has added simultaneous support for playing rtmp streams too(which is reallly good), but i do not have much insight into workings of jwplayer...