'Dexter' stars Michael C. Hall and Jennifer Carpenter are calling it quits after two years of marriage, their reps confirmed to Entertainment Weekly.

"Having been separated for some time, Jennifer Carpenter and Michael C. Hall have filed for divorce," the reps said in a joint statement. Both reps stressed the split was amicable.

The two star together on the hit Showtime series as brother and sister, and Hall received a Golden Globe nomination this morning (he won last year).

Hall, 39, and Carpenter, 31, met on the set of 'Dexter' and soon began dating. They married on December 28, 2008. Carpenter praised Hall to PEOPLE at the time, saying he is "the sexiest man alive. He's one of the best we've got. He's an incredible talent and if anyone deserves accolades, it's him."

Hall finished up cancer treatments earlier this year in his battle against Hodgkin's lymphoma and is "fully recovered" according to a statement Carpenter made in April.

"I feel fortunate to have been diagnosed with an imminently treatable and curable condition, and I thank my doctors and nurses for their expertise and care," Hall said at the time.

Access Hollywood reports that Carpenter attended Sunday night's fifth season finale party in New York City alone--Hall was a no show.

It was announced earlier this week that 'Dexter' will be picked up for a sixth season having garnered rave reviews and high viewer numbers since the show hit the air in 2006. The show, which stars Hall as good-guy serial killer Dexter Morgan and Carpenter as his detective sister, boasted 2.54 million viewers for a single episode last month, making it the show's second highest-watched episode to date.