ProfileInfoCache: Notify observers of a name change on SetGAIAGivenNameOfProfileAtIndex.

chrome/browser/profiles/profile_info_cache.cc

Index: chrome/browser/profiles/profile_info_cache.cc
diff --git a/chrome/browser/profiles/profile_info_cache.cc b/chrome/browser/profiles/profile_info_cache.cc
index a6f8d9abb02caa453cd2642ea2aa49105abb51bc..c0c013b15a241c393b0543450e41437f4f5ab7f3 100644
--- a/chrome/browser/profiles/profile_info_cache.cc
+++ b/chrome/browser/profiles/profile_info_cache.cc
@@ -611,11 +611,21 @@ void ProfileInfoCache::SetGAIAGivenNameOfProfileAtIndex(
   if (name == GetGAIAGivenNameOfProfileAtIndex(index))
     return;
 
+  base::string16 old_display_name = GetNameOfProfileAtIndex(index);
   scoped_ptr<base::DictionaryValue> info(
       GetInfoForProfileAtIndex(index)->DeepCopy());
   info->SetString(kGAIAGivenNameKey, name);
   // This takes ownership of |info|.
   SetInfoForProfileAtIndex(index, info.release());
+  base::string16 new_display_name = GetNameOfProfileAtIndex(index);
+  base::FilePath profile_path = GetPathOfProfileAtIndex(index);
+  UpdateSortForProfileIndex(index);
+
+  if (old_display_name != new_display_name) {
+    FOR_EACH_OBSERVER(ProfileInfoCacheObserver,
+                      observer_list_,
+                      OnProfileNameChanged(profile_path, old_display_name));
+  }
 }
 
 void ProfileInfoCache::SetGAIAPictureOfProfileAtIndex(size_t index,