A topology on the semigroup of endomorphisms on a von Neumann algebra
Let \(M\) be a von Neumann algebra and \(\text{End}(M)\) be its semigroup of endomorphisms. The author considers the natural topological structure on \(\text{End}(M)\), the \(u\)-topology, and relates it to some important invariants and constructions for endomorphisms, such as Long's endomorphisms and Izumi's Connes-Takesaki type module [see also the recent paper: \textit{U. Haagerup} and \textit{C. Winsløw}, Am. J. Math. 120, No. 3, 567-617 (1998)].
scientific article; zbMATH DE number 1185921