(CBS) — The question, “Who killed JFK?” is at the heart of a play having its world premiere in Chicago this week, reports WBBM’s Regine Schlesinger.

Retired FBI agent Zack Shelton collaborated with investigative reporter and playwright Hillel Levin on “Assassination Theater,” a new play that makes the case that the late Chicago crime boss Tony Accardo and some of his fellow mobsters were behind the killing of the president.

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Levin insists this isn’t just another crackpot conspiracy theory.

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“In terms of organized crime’s involvement, it is the most plausible explanation with the most pieces, end-to-end, from shooters to motive to means.”

The two maintain their play is factual, allowing the audience to act as a jury, deciding who really killed the president. They insist the government immediately reached a decision to cover up any evidence of a conspiracy because initially, that would have pointed to the Soviet Union and could have triggered a nuclear confrontation.

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“Assassination Theater” opens in previews tomorrow at the Museum of Broadcast Communications. For more information, visit www.assassinationtheater.com.