Turbo compressor arrangement for piston engines

A turbo compressor arrangement in connection with a piston engine (2) comprising a compressor unit (1.1) and a turbine unit (1.2) connected to each other, in which the turbine unit (1.2) comprises a turbine wheel (1.19) having blades (1.9) and a turbine housing (1.15) enclosing the turbine wheel and the blades at a distance therefrom. A cooling space (1.16) for a cooling medium has been arranged in the turbine housing (1.15), essentially near the tips of the turbine blades (1.9) for a limited cooling of the turbine housing and for preventing the forming of crust.