BOSTON - Sen. Edward M. Kennedy, who died of brain cancer in 2009, had insisted a building that would one day bear his name be less about his own legacy and more about the institution he loved and toiled in for more than half his life, family members said.

"He never envisioned this place as being about one man," said Victoria Reggie Kennedy, his widow and president of the board of directors of the Edward M. Kennedy Institute for the United States Senate. "He saw it as being about the nearly 2,000 men and women who have served in the United States Senate and about the future senators who will be walking through those doors."

On Monday, the $79 million facility that sits adjacent to the presidential library of his brother, John F. Kennedy, is scheduled to be dedicated at a politically star-studded event attended by President Obama, first lady Michelle Obama, Vice President Biden, and a host of current and former senators of both parties. It opens to the public on Tuesday.

Kennedy, the Democratic "liberal lion" of the Senate, began to conceptualize the institute long before he became ill, with its centerpiece being a full-scale replica of the chamber where visitors can role-play as senators weighing the issues of the day, family members said in recent interviews.

"It's a living legacy. It's not an inert building with his name on it," said Kennedy's younger son, former Rhode Island congressman Patrick Kennedy.

At one time, said Connecticut State Sen. Ted Kennedy, Jr., his father had planned to devote his time to the institute and even serve as its first director upon retiring from the Senate. He did not live to see construction begin.

The road to Monday's opening ceremony was not entirely without bumps. Mild objections occasionally arose over the $38 million in federal funds and grants that helped finance the project. But Kennedy's famous ability to work across party lines and cement friendships with Republican colleagues may have helped mute the criticism.

"Even though he could be a fierce partisan himself at times, he never let that stand in the way of being able to work with somebody," said Ted Kennedy, Jr.

Sen. John McCain (R., Ariz.), is among the sitting senators scheduled to attend Monday's dedication. Former Senate Republican leader Trent Lott of Mississippi is a board member of the institute and current Senate Majority Leader Mitch McConnell (R., Ky.), is scheduled to speak at an event there in May, officials said.

McCain told CBS's Face the Nation on Sunday that Kennedy always kept his word - even if it was difficult - and found a way to work across the aisle despite much verbal jousting on the Senate floor. "Oh we had some of the great bouts, and yet, I remember one time we had a huge fight . . . and afterwards we were walking off the floor and he put his arm around me and he said, 'We really did a good one that time, didn't we John?' " McCain said.

The ceremony comes within months of the GOP's regaining control of the Senate and amid a pervasive sense of gridlock and public cynicism about Washington. Her husband would not have been greatly disappointed, said Victoria Reggie Kennedy. "I never knew Teddy to be discouraged about anything. He always looked at the big picture and he played the long game if you will," she said.

Officials of the institute say it launches in sound financial shape with a $50 million endowment - including money left by Kennedy - and anticipates at least 130,000 guests per year.