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Actions of finite groups on the hyperfinite type $II_{1}$\ factor

About this Title

Vaughan F. R. Jones

Publication: Memoirs of the American Mathematical Society
Publication Year: 1980; Volume 28, Number 237
ISBNs: 978-0-8218-2237-1 (print); 978-1-4704-0641-7 (online)
MathSciNet review: 587749
MSC: Primary 46L55; Secondary 20C99, 46L40

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Table of Contents


  • 1. The invariants, statement of the main theorem
  • 2. The fixed point algebra and the crossed product
  • 3. Cocycles and matrix units
  • 4. $Q$-kernels and all that
  • 5. Conjugacy of outer actions
  • 6. Stable conjugacy and the main theorem
  • 7. Applications
  • Appendix A
  • Appendix B