2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106147We obtain some results that relate the Connes spectrum with the innerness of automorphisms in the fixed point local multiplier algebra. The results are variants and/or extensions of corresponding results of Olesen, Pedersen and Stormer [6], [7], [9] and Ara and Mathieu [1] to the case of local multiplier algebras.9 pagesOperator Algebras46L55 (Primary); 46L40 (Secondary)Automorphisms Inner in the Local Multiplier Algebra and Connes Spectrumtext