Convert a string of string to Json

Hello everyone I need to convert a list of strings separated by points to json, I need an algorithm to do this task: Entry:

 l = []
  l.append("a.a")
  l.append("a.b")
  l.append("a.c")
  l.append("a.d")
  l.append("a.e.d")
  l.append("a.e.e")
  l.append("b.a")
  l.append("b.b")

Salida:
     {a:{a,b,c,d,e:{d,e}},b:{a,b}}