Full duplex (FD) cellular networks are considered in which a FD base station (BS) equipped with multiple transmit and receive antennas simultaneously communicates with multiple uplink and downlink users. Unlike conventional half duplex (HD) only systems, inter-user interference from uplink users to downlink users may severely limit the capacity, and must be carefully taken into account. Several new types of interference management techniques are proposed utilizing BS mobility, reconfigurable antennas, and hybrid beamforming structure, which significantly improve the sum rate in the finite signal to noise ratio regime compared to HD only systems.