GA SMT ADVISED TO STAY CLEAR OF TCA. THEN WHEN ADVISED APCH OF LOW FUEL STATE; WAS CLEARED INTO TCA BY APCH. LATER ACCUSED BY ATCT OF ENTERING TCA WITHOUT CLRNC.

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I WAS FLYING ENRTE FROM COLORADO SPRINGS; CO; TO MC CARRAN FIELD AT LAS. I HAD OBTAINED THE ATIS INFO AND SUBSEQUENTLY CONTACTED LAS APCH CTL. I RECEIVED A TRANSPONDER CODE AND WAS ASKED TO IDENT WHILE STILL OUTSIDE THE TCA. APCH CTL DID NOT RECEIVE MY TRANSPONDER AND I WAS ASKED TO REMAIN CLR OF THE TCA UNTIL THEY PICKED ME UP. I WAS RUNNING LOW ON FUEL AND THEREFORE TOLD APCH THIS FACT AND ASKED TO EXPEDITE A LNDG. APCH ACKNOWLEDGED; ASKED FOR MY LOCATION AND CLRED ME TO APCH RWY 19. I SUBSEQUENTLY ENTERED THE TCA AND ACKNOWLEDGED A WDB ON FINAL. I CALLED AND ASKED APCH IF I WAS TO BE CLRED TO LAND AFTER THE WDB. I DIDN'T RECEIVE AN ACKNOWLEDGEMENT ON THIS. I CALLED AGAIN AND WAS NOW 3-5 MI OFF THE RWY. APCH SAID THEY WOULD CALL THE TWR AND SEE IF THEY HAD ME IN SIGHT; WHICH THEY DID; AND THE TWR THEN CLRED ME TO LAND. THE TWR ASKED ME TO CALL UPON SHUT DOWN. THE CTLR INFORMED ME I HAD PENETRATED THE TCA W/O AUTHORIZATION. NATURALLY; I REITERATED THE AFOREMENTIONED SEQUENCE. HE STATED HE WOULD INFORM GADO FOR ANY FURTHER DISPENSATION.