It should be possible for a network to manage CSG membership, for example, by adding or removing a particular subscriber UE from a CSG list that is under the network's control. A UE should be able to provision the CSG list that is under the UE's control.
From the UE perspective, the list of CSGs of which the UE is considered a member should be managed. The list of CSGs is referred to as the CSG white-list for the UE. The operator should also manage the CSG subscription data of its subscribers.
A CSG white-list consists of an “Allowed CSG list” and an “Operator CSG list”. The Allowed CSG list can be provisioned by both the UE and the network, while the Operator CSG list is only provisioned by the network. CSG provisioning can be carried out by Open Mobile Alliance Device Management (OMA DM) procedures or by Over-The-Air (OTA) technologies. NAS procedures are also used for CSG provisioning in the case of manual CSG selection, where the CSG white-list can be updated during, for example, Attach or Tracking Area Update procedures.
I hope this clarifies the doubt.