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Random sets and invariants for (type II) continuous tensor product systems of Hilbert spaces

About this Title

Volkmar Liebscher

Publication: Memoirs of the American Mathematical Society
Publication Year 2009: Volume 199, Number 930
ISBNs: 978-0-8218-4318-5 (print); 978-1-4704-0536-6 (online)
MathSciNet review: 2507929
MSC: Primary 46L55; Secondary 46L40, 46M05, 60G55

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Table of Contents


  • Chapter 1. Introduction
  • Chapter 2. Basics
  • Chapter 3. From product systems to random sets
  • Chapter 4. From random sets to product systems
  • Chapter 5. An hierarchy of random sets
  • Chapter 6. Direct integral representations
  • Chapter 7. Measurability in product systems: An algebraic approach
  • Chapter 8. Construction of product systems from general measure types
  • Chapter 9. Beyond separability: Random bisets
  • Chapter 10. An algebraic invariant of product systems
  • Chapter 11. Conclusions and outlook