2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99342We propose a slight modification of the properties of a spectral geometry a la Connes, which allows for some of the algebraic relations to be satisfied only modulo compact operators. On the equatorial Podles sphere we construct suq2-equivariant Dirac operator and real structure which satisfy these modified properties.6 pages. Latex. V2: Minor changes; to appear in Comptes Rendus MathematiqueQuantum AlgebraMathematical Physics81R60, 58B34, 81R50, 58B32, 20G42, 17B37text