JavaScript cambia URL sin recarga
window.history.pushState('', 'New Page Title', '/new-url.php');
Grepper
window.history.pushState('', 'New Page Title', '/new-url.php'); function processAjaxData(response, urlPath){
document.getElementById("content").innerHTML = response.html;
document.title = response.pageTitle;
window.history.pushState({"html":response.html,"pageTitle":response.pageTitle},"", urlPath);
}