I understand that the AP can receive ip addresses for WLAN clients from an active DHCP server on the LAN. In that case, is the AP acting like a bridge with the interface to the LAN having the same IPs as the ones assigned to the WLAN clients?
AP realy acts as a bridge but as an L2 device needn't any IP address. Aironet can serve more VLANs (more IP spaces) but his own IP address is typicaly only on native VLAN. This VLAN can be used for a management and needn't be served into the air. WiFi clients can get addresses through theirs VLANs.