Multipliers and Transference on Noncommutative Lp-spaces: and the Relative Haagerup Property

This thesis deals with multipliers and transference on noncommutative Lp-spaces. It falls within the realm of noncommutative harmonic analysis, i.e. harmonic analysis on noncommutative spaces. Such spaces appear in several areas of mathematics, such as non-abelian groups, quantum groups, noncommutative geometry and the general theory of operator algebras. Already the pioneering work of von Neumann, Gelfand and Dixmier showed that there are close connections between operator theory and representation theory of locally groups. These results formed the foundations for the theory of noncommutative harmonic analysis.....