Hi Sven (long time!)
My concerns about the "state actor" doctrine (to use the US term) are set out in post #2 above. Interestingly, the one appellate judge who found that the Charter did apply did not do so mainly on the basis of the government function test but on a separate strand of the case law based on an entity being entrusted with coercive statutory powers.
I remain torn about the answer I would most like to see to this question.
My earlier comments about sexism and racism were based on my understanding that the professor in question in a racialized woman (who also is married to a woman). They were systemic in nature and not tied to any individual student.
That said, I believe this case is better dealt with under administrative law, and having read the record in this case and accepting it at face value i do think that U of C's discplinary decisions against THESE two students were misguided in their severity and failure to provide adequate reasons (as well as denying the internal right to an appeal).