  We further develop the abstract representation theory of affine Hecke
algebras with arbitrary positive parameters. We establish analogues of several
results that are known for reductive p-adic groups. These include: the relation
between parabolic induction/restriction and Hermitian duals, Bernstein's second
adjointness and generalizations of the Langlands classification. We check that,
in the known cases of equivalences between module categories of affine Hecke
algebras and Bernstein blocks for reductive p-adic groups, such equivalences
preserve Hermitian duality.
  We also initiate the study of generic representation of affine Hecke
algebras. Based on an analysis of the Hecke algebras associated to generic
Bernstein blocks for quasi-split reductive p-adic groups, we propose a fitting
definition of genericity for modules over affine Hecke algebras. With that
notion we prove special cases of the generalized injectivity conjecture, about
generic subquotients of standard modules for affine Hecke algebras.
