- "Although the Jedi Temple was destroyed by the Empire during the Sacking of Coruscant, its ruins still speak of its former glory. After the temple was bombed in the initial attack, the upper floors were deliberately collapsed on Darth Malgus’s orders. The Jedi Temple’s tower, once a Coruscant landmark, broke free during the bombing and fell to the city’s lower levels. The old Jedi Council chamber is the only room left largely intact, but it is still considered dangerous and prone to collapse. The temple ruins have continued to see strife even after the Sacking of Coruscant. They were the site of a duel between Darth Malgus and the Jedi empath Aryn Leneer before Imperial forces were withdrawn from the planet. Exceptionally brave and lucky looters have also disturbed the ruins, hunting–and often finding–valuable Jedi artifacts."
- ―In-game Codex (Locations)
The Jedi Temple on Coruscant was the longtime home of the Jedi Order until it was heavily damaged in the Sacking of Coruscant at the end of the Great Galactic War. The temple was assaulted by a strike team lead by Darth Malgus, and the Jedi who remained inside were ultimately overwhelmed. The entire temple was razed by Empire ships.
The Jedi Temple is also where you can find the Matrix Shard Assembler and Disassembler. How to assemble & Disassemble a Matrix Cube or Relic
- For information on this subject beyond The Old Republic, see: Jedi Temple on Wookieepedia