Hi Deborah. Thanks for showing an interest in the post! Here's the verses from Daniel.
DAN 9:26 And after threescore and two weeks shall Messiah be cut off, but not for himself: and the people of the prince that shall come shall destroy the city and the sanctuary; and the end thereof shall be with a flood, and unto the end of the war desolations are determined.
DAN 9:27 And he shall confirm the covenant with many for one week: and in the midst of the week he shall cause the sacrifice and the oblation to cease, and for the overspreading of abominations he shall make it desolate, even until the consummation, and that determined shall be poured upon the desolate.
Verse 26 talks about the "people of the prince that shall come". Verse 27 talks about a "he" confirming an agreement with "many" for one "week" and in the middle of that week he causes the sacrifices to cease. From a biblical point of view, the sacrifices can only happen in that one temple. The sacrifices cannot cease if they don't begin and they cannot begin if there is no temple.
I also believe that this prophecy has a duel meaning referring to both Jesus and the AC since both are princes in their own way. Jesus is the prince of princes, but Satan is also referred to as the prince of this world 3 separate times (jn 12:32, 14:30, 16:11). Verse 25 specifically mentions the messiah, but verse 27 talks about this prince spreading abominations. There are two princes here each with a different role, though their behavior overlaps in similar ways.
For example, while Satan makes an agreement with many (i.e. the Jews) to rebuild the physical temple in Jerusalem, the other prince (Jesus) makes an agreement with many (144k of his faithful followers) to organize them into his spiritual temple, for one "week". Another bit of supporting evidence for this concept of a physical temple vs a spiritual temple is Rev. 11:8, where the angel refers to Jerusalem as Sodom and Egypt, (i.e. spiritually desolate). Paul talks about how God does not live in temples made with hands (Acts 7:48,17:24), but rather how we (the people) are God's temple now. Jesus talked about how the kingdom of Heaven is inside the people and does not come with observation (like buildings, Lk 17:20-21).
In the middle of the week, the AC profanes the physical temple in some shocking way, but the real abomination is what he does to the spiritual temple, by making war with the saints for 3.5 years, or as the Revelation puts it (they shall trod the holy city underfoot for 42 months). 42 months = 3.5 years.
So, one fairly reliable way for determining the identity of the AC will be to carefully examine whomever it is who finally brokers and agreement to rebuilt the temple in Jerusalem.