Classification of ₀–semigroups by product systems

* Introduction* Morita equivalence and representations* Stable Morita equivalence for Hilbert modules* Ternary isomorphisms* Cocycle conjugacy of $E_0$-semigroups $E_0$-semigroups, product systems, and unitary cocycles* Conjugate $E_0$-semigroups and Morita equivalent product systems* Stable unitary cocycle (inner) conjugacy of $E_0$-semigroups* About continuity* Hudson-Parthasarathy dilations of spatial Markov semigroups* Von Neumann case: Algebraic classification* Von Neumann case: Topological classification* Von Neumann case: Spatial Markov semigroups* Appendix A: Strong type I product systems* Appendix B: $E_0$-semigroups and representations for strongly continuous product systems* References