Do this,

Home View

@{
     if (Request.IsAjaxRequest())
     {
         Layout = null;
     }
     ViewBag.Title = "Home";
    }
    @if (!Request.IsAjaxRequest())
    {
        
        <script src="@Url.Content("~/Scripts/jquery.unobtrusive-ajax.js")" type="text/javascript"></script>
    }
    
    <script type="text/javascript">
        function myCallback(xhr, status) {
            alert(status);
        }
    </script>
    <div id="divLoading" style="display: none">
        Loading ...</div>
    <div id="divResultText">
        @Ajax.ActionLink("Edit Ajax", "Index", "Edit", null, new AjaxOptions
    {
        HttpMethod = "Get",
        OnComplete = "myCallback",
        UpdateTargetId = "divResultText",
        LoadingElementId = "divLoading"
    })
    </div>

Edit View

 @{
        ViewBag.Title = "Edit";
        if (Request.IsAjaxRequest())
        {
            Layout = null;
        }
    }
    @Ajax.ActionLink("Home", "Index", "Home", null, new AjaxOptions
    {
        HttpMethod = "Get",
        UpdateTargetId = "divResultText",
        LoadingElementId = "divLoading"
    })