Labuschagne, Louis E.2016-01-282016-01-282013Labuschagne, L.E. 2013. A crossed product approach to Orlicz spaces. Proceedings of the London Mathematical Society, 107(5):965-1003. [https://doi.org/10.1112/plms/pdt006]0024-61151460-244X (Online)http://hdl.handle.net/10394/16080https://doi.org/10.1112/plms/pdt006We show how the known theory of non-commutative Orlicz spaces for semifinite von Neumann algebras equipped with an faithful normal semifinite trace may be recovered using crossed product techniques. Then using this as a template, we construct analogues of such spaces for type III algebras. The constructed spaces naturally dovetail with and closely mimic the behaviour of Haagerup Lp-spaces.We then define a modified K-method of interpolation which seems to better fit the present context, and give a formal prescription for using this method to define what may be regarded as type III Riesz–Fischer spacesenA crossed product approach to Orlicz spacesArticle