In ArcGIS we have the ArcGIS Online portal kind of application where we can create a feature layer.
Is there any application where I can maintain the feature data in Google?
Or how we can do this in the Google Maps API?
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Perhaps google fusion tables would be of some use to you? Basically its an online database service provided by Google, you upload your data which you can then display on a google map
I hope that helps get you on your way.