A catalyst carrier body has a geometrical longitudinal axis, a honeycomb body and a housing. A corrugated casing with an outer side and an inner side is disposed between the honeycomb body and the housing. The corrugated casing is connected to the housing at attachment sections on the outer side thereof by brazing. The attachment sections lie substantially on a common circumferential line and have the narrowest possible width in direction of a longitudinal axis. The attachment sections have an overall surface area permitting them to securely hold the honeycomb body under operating conditions. A high retention degree for the connection between the honeycomb body and housing can thus be achieved even with a shrinking of the diameter of the honeycomb body at end sides during the service life thereof.