Early in her career, her work focused on the idea of memory through formal means, as in Untitled (1990), a diptych-like work on paper in which one side is a ghostly inversion of the other. She later began using architectural principles and methods in her sculptures and installations that explore the nature of memory. In 1999, she created the site-specific outdoor sculpture Magic Carpet/Home, commissioned by the Public Art Fund and installed in Coffey Park in Red Hook, Brooklyn (and later in Pittsburgh and Los Angeles). Made of wood, recycled rubber tires, and parking-lot line paint, the work replicated the floor plan of a six-room unit in Red Hook East, a public-housing project originally designed by Skidmore, Owings and Merrill. Incorporating outlines, akin to blueprints, for a kitchen, bathroom, bedrooms, and closets on playground surfacing material, the piece itself appears to undulate, as if flying through the air, in an evocative combination of the material and fantasy elements of childhood with the economic reality of the work's surroundings. González later explored connections between architecture and memory in more personal ways. In her 2002 installation at the Bronx Museum of Art, New York, Mnemonic Architecture, she reproduced, at life-size, the floor plan of her childhood home from a 32-year-old memory; the result was abstracted and disproportionate. In Internal DupliCity (2006), her architectural re-creations took the form of scale models, based on forms that include Renaissance villas, agrarian sheds, and Roman burial vaults. Installed on white pedestals, the models were largely obscured by an outer shell of frosted Plexiglas, conjuring visual associations of Catholic reliquaries (the predominant prerevolutionary religion of Cuba) and children's dollhouses, conveying a sense of inaccessibility and loss. Subsequent projects incorporate the viewer as an essential element in completing the work. For You & Me (2010), beams and platforms installed across the landscape of Storm King Art Center in Mountainville, New York, invite participants to stand in designated spaces in the work, making them appear to others to be located on or within other works of art in the larger sculpture park. González's first solo exhibition was at the Nuyorican Poets Cafe in New York (1991). She has had solo exhibitions at galleries and institutions including El Museo del Barrio, New York (1996–97); Los Angeles Contemporary Exhibitions (2002); Bronx Museum of Art (2002); Art in General, New York (2002–03); Contemporary Museum, Honolulu (2006); and Galerie Gisèle Linder, Basel (2005, 2009). Her work has been shown in group exhibitions, including Greater New York, P.S. 1 Contemporary Art Center (now MoMA PS1), New York (2000); Sonsbeek, Arnhem, Netherlands (2001); and The Shapes of Space, Guggenheim Museum, New York (2007). She was a Guggenheim Fellow in 2006. She lives and works in Brooklyn and Basel.