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The Auckland War Memorial Museum is holding a second series of roundtable discussions this week to consider its future.
It is conducting a major restructuring exercise which the union for some of its staff, the Public Service Association, claimed will result in dozens of people losing their jobs.
A spokeswoman for the museum said three roundtable discussions were held last week and a further three were taking place this week, chaired by former Television New Zealand news chief Bill Ralston.
She said the talks would include people from the media and creative industries, academics and those in the public sector.
She hoped there would be "full and frank" debate on the future of the museum.
Museum chairman David Hill has said the restructuring was designed to ensure the museum continued to be relevant to Aucklanders and "delivers a more engaging experience for its visitors".
Mr Hill said the museum was now recruiting for the new position of Maori partnership and development executive after the director Maori, Dr Paul Tapsell, left his post this month.
Iwi had raised concerns that the restructuring would reduce the museum's focus on its Maori and Pacific collections.
Mr Hill said the new structure would include 168 full-time equivalent positions compared with 165 before, and although 28 jobs were being "disestablished", no one was being made redundant.
He said staff were welcome to apply for 21 newly advertised jobs.