People on forums will tell you all kinds of things about what you need for 4 ohm speakers but the truth is, it depends on many factors such as distance, speaker's sensitivity specs and your desired maximum undistorted sound pressure level at your listening distance.
Ultimately though, you can just follow the speaker manufacturers recommendation and not worry much about the factors I mentioned. For example, if Bose recommended 80 W, 4 ohms, then a 100 WPC into 4 ohm rated amp that you mentioned should be adequate.
The Freespace 360P series II seems like a very different animal, that is not 4 ohm, and for that model, high current is not as important as high voltage. It is hard to find things on the Freespace 360P but I did find the following linked one, is it what you have?
If it is, then a 100 W 8 ohm amp will definitely be adequate as those speakers are rated only 25 W but there are the transformer version and non transformer version, so which one do you have?
summer (boseprofessional.com)
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