This book is an introduction, written in a self-contained manner to offer the basic concepts, techniques, structures and important results of the theory of operator algebras. It can serve as a text for graduate students.
ch. 1. Fundamentals of Von Neumann algebras -- ch. 2. Fundamentals of C*-algebras -- ch. 3. Tensor products of C*-algebras -- ch. 4. W*-algebras -- ch. 5. Abelian operator algebras -- ch. 6. The classification of Von Neumann algebras -- ch. 7. The theory of factors -- ch. 8. Tomita-Takesaki theory -- ch. 9. The Connes classification of type (III) factors -- ch. 10. Borel structure -- ch. 11. The Borel spaces of Von Neumann algebras -- ch. 13. Reduction theory -- ch. 14. Decomposition theory -- ch. 15. (AF)-algebras -- ch. 16. Crossed products -- ch. 17. Jones index theory -- Appendix. Weak topology and weak * topology.
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