A Galois Correspondence for Compact Groups of Automorphisms of von Neumann Algebras with a Generalization to Kac Algebras

Compact matrix pseudogroups

S. L. Woronowicz · Communications in Mathematical Physics · 1987 · 1.6K citations

Spectral Theory, Topological Semigroups, Geometric Group Theory +3

Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics

Sergio Doplicher, John E. Roberts · Communications in Mathematical Physics · 1990 · 340 citations

Superselection Structure, Quantum Groups, Representation Theory +7

Index of subfactors and statistics of quantum fields. I

Roberto Longo · Communications in Mathematical Physics · 1989 · 322 citations

Quantum Science, Engineering, Quantum Field Theory +2

Classification of amenable subfactors of type II

Sorin Popa · Acta Mathematica · 1994 · 259 citations · Full text

Representation Theory, Algebraic Combinatorics, Group Representation +2

Extension of Jones' theory on index to arbitrary factors

Hideki Kosaki · Journal of Functional Analysis · 1986 · 234 citations

Arbitrary Factors, Index System, Computational Number Theory +1