We describe the quantum subspaces of Banica-Goswami's half-liberated real spheres, showing in particular that there is a bijection between the symmetric ones and the conjugation stable closed subspaces of the complex projective spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm6687-10-2015, author = {Julien Bichon}, title = {Half-liberated real spheres and their subspaces}, journal = {Colloquium Mathematicae}, volume = {144}, year = {2016}, pages = {273-287}, zbl = {06575005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6687-10-2015} }
Julien Bichon. Half-liberated real spheres and their subspaces. Colloquium Mathematicae, Tome 144 (2016) pp. 273-287. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6687-10-2015/