; Xin Li] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
Consequences of Schrodinger's antipodal identification on quantum field theory in de Sitter space are investigated. The elliptic Z(2) identification provides observers with complete information. We show that a suitable confinement on dimension of the elliptic de Sitter space guarantees the existence of globally defined spinors and orientable dS/Z(2) manifold. In Beltrami coordinates, we give exact solutions of scalar and spinor fields. The CPT invariance of quantum field theory on the elliptic de Sitter space is presented explicitly.