Upload an asset with name "TextureXX" to the server.
Disconnect and relogin the world with the same avatar.
Rename the asset in personal inventory to "TextureYY".
Observe the asset in World Library. The asset name will say "TextureXX".
Expected: The asset in World Library will say "TextureYY".
Note: The same thing occurs if the renaming is done in World Library. Then the personal library name will be out of sync.
A similar bug with syncing World Library contents:
Join the world with two avatars.
With one avatar, select an asset, say with name "TextureXX", in the world library and rename it to "TextureYY".
With another avatar, observe the asset in world library. The asset name will say "TextureXX".
Expected: The asset name will say "TextureYY".
Tested in server & client builds 20081118.