http://www.aish.com/jl/h/cc/48938582.html
...The rebuilding of the Temple, which had began under Cyrus when the Persians first took over the Babylonian empire, and which was then interrupted for 18 years, resumed with blessing of Darius II, the Persian king whom we believe to be the son of Esther.
The work is completed in 350 BCE and the Temple is re-dedicated...