Operator algebras and applications:

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These volumes form an authoritative statement of the current state of research in Operator Algebras. They consist of papers arising from a year-long symposium held at the University of Warwick. Contributors include many very well-known figures in the field.

Author(s): David E. Evans, Masamichi Takesaki
Series: London Mathematical Society Lecture Note Series
Publisher: CUP
Year: 1988

Language: English
Pages: 248

Preface......Page 5
Contents......Page 6
1. Introduction......Page 9
2. Monodromy and Yang-Baxter equations......Page 13
3. Matrix elements......Page 18
4. Pair correlation function......Page 24
5. Conclusion......Page 27
1. Introduction......Page 31
2. Holomorphic semigroups and conservative operators......Page 34
3. Abelian C -algebras and derivations......Page 35
4. Derivations......Page 38
5. Reynolds's identity......Page 47
6. Alternative forms of the O(t-) estimate.......Page 51
Acknowledgements......Page 54
References......Page 55
C*-algebras in solid state physics: 2D electrons in uniform magnetic field......Page 57
I- Introduction......Page 58
II- 2D Bloch electrons in a magnetic field......Page 59
II-1) Strong field expansion for Landau's band-......Page 60
II-2) Weak field expansion : the Peierls substitution-......Page 61
Spin groups, infinite dimensional Clifford algebras and applications......Page 85
Subfactors and related topics......Page 111
Quantized groups, string algebras, and Galois theoryfor algebras......Page 127
On amenability in type III factors......Page 181
An index for semigroups of *-endomorphisms of B(H)......Page 193
Coactions and Yang-Baxter equations for ergodic actions and subfactors......Page 211
Derived link invariants and subfactors......Page 245