摘要

The Proper Forcing Axiom implies all automorphisms of every Calkin algebra associated with an infinite-dimensional complex Hilbert space and the ideal of compact operators are inner. As a means of the proof we introduce notions of metric omega(1)-trees and coherent families of Polish spaces and develop their theory parallel to the classical theory of trees of height omega(1) and coherent families indexed by a sigma-directed ordering.

  • 出版日期2011-5