ArcGIS JavaScript API: How to add a CSV as a Layer?

I've created a map on ArcGIS online, adding a layer by uploading a csv file. This works fine, see map at link http://www.arcgis.com/home/webmap/vi...1ba43a0256c06b.

Now I'm trying to simulate this in JavaScript API. First I create a Web API service that returns the same data set I've got in csv file. This is published on my local webserer. In my web page, I create a webmap, adding a layer that references this web API:

 function init() {
 var options = {
 basemap: "gray",
 center: [153.115672, -30.296312],
 zoom: 14
 }
 var mapServiceURL = "http://[myserver]/TRWDataManagerAPI/API/OzRegs";

 // Create map and call Init function
 map = new esri.Map("mapDiv", options);

 map.addLayer(new esri.layers.ArcGISDynamicMapServiceLayer(mapServiceURL));
 }
 dojo.ready(init);

The webmap is displayed, but the layer doesn't have any effect. What's missing? Am I at the right track? Your help is greatly appreciated.