Generalized Measures of Non-precompactness Relative to von Neumann Algebras

A Galois Correspondence for Compact Grou

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

✍ Masaki Izumi; Roberto Longo; Sorin Popa 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 493 KB

Let M be a factor with separable predual and G a compact group of automorphisms of M whose action is minimal, i.e., M G$ & M=C, where M G denotes the G-fixed point subalgebra. Then every intermediate von Neumann algebra M G /N/M has the form N=M H for some closed subgroup H of G. An extension of thi