Toeplitz operators,pseudo-homogeneous symbols,and moment maps on the complex projective space

Following previous works for the unit ball due to nikolai vasilevski,we define quasi-radial pseudo-homogeneous symbols on the projective space and obtain the corresponding commutativity results for toeplitz operators. a geometric interpretation of these symbols in terms of moment maps is developed. this leads us to the introduction of a new family of symbols,extended pseudo-homogeneous,that provide larger commutative banach algebras generated by toeplitz operators. this family of symbols provides new commutative banach algebras generated by toeplitz operators on the unit ball. © 2017 miguel antonio morales-ramos et al.