Lectures on operator theory / B.V. Rajarama Bhat, George A. Elliott, Peter A. Fillmore, editors.

Format:

Book

Contributor:

Bhat, B. V. Rajarama, 1966-

Elliott, George A., 1945-

Fillmore, Peter A., 1936-

Series:

Fields Institute Monographs, 2472-4173 ; v. 13

Language:

English

Subjects (All):

C*-algebras--Congresses.

C*-algebras.

Operator theory--Congresses.

Operator theory.

Physical Description:

1 online resource (xi, 323 pages)

Place of Publication:

Providence, R.I. : American Mathematical Society c 1999.

System Details:

Mode of access : World Wide Web

Contents:

Chapter 1. C*-algebras: Definitions and examples Chapter 2. C*-algebras: Constructions Chapter 3. Positivity in C*-algebras Chapter 4. K-theory I Chapter 5. Tensor products of C*-algebras Chapter 6. Crossed products I Chapter 7. Crossed products II: Examples Chapter 8. Free products Chapter 9. K-theory II: Roots in topology and index theory Chapter 10. C*-algebraic K-theory made concrete, or trick or treat with $2 \times 2$ matrix algebras Chapter 11. Dilation theory Chapter 12. C*-algebras and mathematical physics Chapter 13. C*-algebras and several complex variables Chapter 14. Basic structure of von Neumann algebras Chapter 15. von Neumann algebras (Type $II_1$ factors) Chapter 16. The equivalence between injectivity and hyperfiniteness, part I Chapter 17. The equivalence between injectivity and hyperfiniteness, part II Chapter 18. On the Jones index Chapter 19. Introductory topics on subfactors Chapter 20. The Tomita-Takesaki theory explained Chapter 21. Free products of von Neumann algebras Chapter 22. Semigroups of endomorphisms of $\mathcal {B}(H)$ Chapter 23. AF-algebras and Bratteli diagrams Chapter 24. Classification of amenable C*-algebras I Chapter 25. Classification of amenable C*-algebras II Chapter 26. Simple AI-algebras and the range of the invariant Chapter 27. Classification of simple purely infinite C*-algebras I Chapter 28. Introduction Chapter 29. The isomorphism theorem Chapter 30. The range of the invariant Chapter 31. Bibliography Chapter 32. The Kauffman-Lins recoupling theory Chapter 33. Graphs and connections Chapter 34. An extension of the recoupling model Chapter 35. Relations to minimal models and subfactors

Notes:

Articles based for the most part on lectures given at the Fields Institute for Research in Mathematical Sciences by participants in the program, "Operator algebras and applications" held 1994-1995 in Waterloo, Ontario.

Includes bibliographical references (pages 323).

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Lectures on operator theory /

ISBN:

9781470431402 (online)

Access Restriction:

Restricted for use by site license.