| Résume | Integral decomposition is a fundamental technique in von Neumann algebras, allowing to reduce the study of many properties of von Neumann algebras to that of factors. A similar transfer phenomenon has been recently observed on tracially complete C*-algebras, a class of C*-algebras which intuitively speaking resembles bundles on topological spaces with von Neumann algebras as fibers. In this talk I will introduce these transfer phenomena, and show how continuous model theory provides a suitable framework to rigorously formulate and investigate them. The contents of this talk are part of a joint work by Farah, Hart, Hirshberg, Schafhauser, Tikuisis and myself. |
