Company limited by guarantee not having a share capital – Public company. Must have at least seven members. Members' liability limited to amount they have undertaken to contribute to company assets. If wound up, liability does not exceed amount specified in memorandum. If a guarantee company does not have a share capital, members are not required to buy shares (such as charities).
On the other hand, if you are not responsible for its tax, then you should declare the equipment in Part III of the Business Property Statement (Equipment belonging to others). Where equipment is declared in Part III of the Business Property Statement, the Assessor will also send a Notice to File to the person reported as the equipment's actual owner.