Diversified Healthcare Trust Common Shares of Beneficial Interest. Replay the stock market charts of DHC day by day, back to 2003. Open long and short positions without spending any money. DHC is a real estate investment trust, or REIT, that owns medical office and life science properties, senior living communities and wellness centers throughout the United States. DHC is managed by the operating subsidiary of The RMR Group Inc., an alternative asset management company that is headquartered in Newton, MA.