ARRIVING DC9 FLC MISINTERPRETED CLRNC AND UNDERSHOT XING ALT; REQUIRING THEM TO MAKE A CLBING L TURN TO AVOID TFC.

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FLT PLAN INCLUDED KASPER 2 STAR AT MSP. INITIAL CHK IN WITH MSP APCH CLRED US TO CROSS DELZY INTXN AT 11000 FT AND 250 KTS. APCH CTL THEN CLRED US TO 11000 FT WHICH WE INTERPRETED AS A CANCELLATION OF THE XING RESTR. MSP APCH THEN INFORMED US THAT WE MISSED OUR XING RESTR AND WE CROSSED DELZY AT APPROX 14000 FT. THE CTLR JUST SAID TO VERIFY THE CHART AND THAT IT WASN'T A PROB AND HANDED US OVER TO THE NEXT MSP APCH CTLR. SUPPLEMENTAL INFO FROM ACN 488957: AT 11000 FT WE SAW A COMPANY B727 START TURN AFTER TKOF IN OUR DIRECTION CLBING. WE THEN GOT A TA THEN A CLBING RA. WE TURNED INTO THE TAIL OF THE ACFT AND CLBED 1000 FT. THE CTLR THEN ISSUED A TURN IN THE DIRECTION WE HAD ALREADY STARTED. THE CTLR THEN ASKED IF WE GOT THE FREQ CHANGE AND DSCNT? WE HAD NOT. IN FACT; AT THE TIME THE FREQ WAS RATHER QUIET. OUR JUDGEMENT WAS WE PASSED BEYOND 5 MI HORIZ AND VERT 1000 FT. FACTORS: A BUSY APCH CTL FREQ; A BUSY CTLR AND I THINK HE FORGOT ABOUT US UNTIL WE CALLED DEPARTING 11000 FT CLBING TO HONOR THE RA.