Abeles' mid-career survey, Encyclopedia Persona A-Z, toured the United States and South America, and was awarded the Best Regional Museum Show category for 1993-94 by the International Association of Art Critics. She continues to exhibit internationally, including recent projects in Vietnam, Thailand, Czech Republic, England, China, and forthcoming in Cuba.

She represented the U.S. in both the Fotografie Biennale Rotterdam and the Cultural Centre of Berchem in Antwerp. Her work is in numerous private and public collections including the Museum of Contemporary Art, United States Information Agency, Los Angeles County Museum of Art, and is archived in the library collections of the Museum of Modern Art and the Cooper-Hewitt Publication Design Collection of the Smithsonian.

Abeles work was awarded grants from the Andy Warhol Foundation and Peter Norton Foundation and fellowships from J. Paul Getty Trust Fund for the Visual Arts, Pollack-Krasner Foundation, and the California Arts Council.