An arrangement • comprising - a fitting for displaceably supporting sliding doors made from glass with an adhesive adapter to be glued to a door leaf, - a roller carriage, and - a fastening element, • wherein - the adhesive adapter • includes a bonding surface and a counter-surface opposite and facing away from the bonding surface, wherein at least one web is provided on the bonding surface, by means of which web the thickness of the bonding surface is determined, configured for being glued to the door leaf, - an insert with a thread is incorporated into the adhesive adapter, which thread is accessible from the counter-surface, • the fastening element, - is screwed into the thread, - the adhesive adapter is fastened to the roller carriage, and • the roller carriage is rotatably supported around the fastening element and includes means for the height adjustment of the sliding door, characterized in that the roller carriage includes a roller support with at least one roller and an adapter support, wherein the adapter support is disposed at the roller support, and the adapter support is at least partially configured to be concave in order to create a reception space for the adhesive adapter, and the fastening element is rotatably disposed at the adapter support, and the means for the height adjustment of the sliding door are configured as an adjusting device, which is disposed between the adapter support and the roller support. • comprising - a fitting for displaceably supporting sliding doors made from glass with an adhesive adapter to be glued to a door leaf, - a roller carriage, and - a fastening element, - a fitting for displaceably supporting sliding doors made from glass with an adhesive adapter to be glued to a door leaf, - a roller carriage, and - a fastening element, • wherein - the adhesive adapter • includes a bonding surface and a counter-surface opposite and facing away from the bonding surface, wherein at least one web is provided on the bonding surface, by means of which web the thickness of the bonding surface is determined, configured for being glued to the door leaf, - an insert with a thread is incorporated into the adhesive adapter, which thread is accessible from the counter-surface, - the adhesive adapter • includes a bonding surface and a counter-surface opposite and facing away from the bonding surface, wherein at least one web is provided on the bonding surface, by means of which web the thickness of the bonding surface is determined, configured for being glued to the door leaf, • includes a bonding surface and a counter-surface opposite and facing away from the bonding surface, wherein at least one web is provided on the bonding surface, by means of which web the thickness of the bonding surface is determined, configured for being glued to the door leaf, - an insert with a thread is incorporated into the adhesive adapter, which thread is accessible from the counter-surface, • the fastening element, - is screwed into the thread, - the adhesive adapter is fastened to the roller carriage, and - is screwed into the thread, - the adhesive adapter is fastened to the roller carriage, and • the roller carriage is rotatably supported around the fastening element and includes means for the height adjustment of the sliding door, the roller carriage includes a roller support with at least one roller and an adapter support, wherein the adapter support is disposed at the roller support, and the adapter support is at least partially configured to be concave in order to create a reception space for the adhesive adapter, and the fastening element is rotatably disposed at the adapter support, and the means for the height adjustment of the sliding door are configured as an adjusting device, which is disposed between the adapter support and the roller support.