You can use dictionary comprehension :
Say :
dict1 = {'a': 123, 'b': 456}
set1 = {'a'}
intersection :
>>> { key:dict1[key] for key in dict1 if key in set1 }
{'a': 123}
difference :
>>> { key:dict1[key] for key in dict1 if not key in set1 }
{'b': 456}
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