Anticommutation in the presentations of theta-deformed spheres

We consider an analogue of the θ-deformed even spheres, modifying the relations demanded of the self-adjoint generator x in the usual presentation. In this analogue, x is given anticommutation relations with all of the other generators, as opposed to being central. The main result shows that these algebras satisfy a Borsuk–Ulam property that is visible in even K-theory.