The view is not updated in AngularJS

You are missing $scope.$apply().

Whenever you touch anything from outside of the Angular world, you need to call $apply, to notify Angular. That might be from:

• xhr callback (handled by $http service)
• setTimeout callback (handled by $defer service)
• DOM Event callback (handled by directives)

In your case, do something like this:

// inject $rootScope and do $apply on it
angular.service('Channel', function($rootScope) {
  // ...
  return {
    init: function(channelId, clientId) {
      // ...
      socket.onmessage = function(msg) {
        $rootScope.$apply(function() {
          that.publish(args[0], args[1]);
        });
      };
    }
  };
});