Ebook: Mappings of Operator Algebras: Proceedings of the Japan—U.S. Joint Seminar, University of Pennsylvania, 1988

This volume consists of articles contributed by participants at the fourth Ja­ pan-U.S. Joint Seminar on Operator Algebras. The seminar took place at the University of Pennsylvania from May 23 through May 27, 1988 under the auspices of the Mathematics Department. It was sponsored and supported by the Japan Society for the Promotion of Science and the National Science Foundation (USA). This sponsorship and support is acknowledged with gratitude. The seminar was devoted to discussions and lectures on results and prob­ lems concerning mappings of operator algebras (C*-and von Neumann alge­ bras). Among the articles contained in these proceedings, there are papers dealing with actions of groups on C* algebras, completely bounded mappings, index and subfactor theory, and derivations of operator algebras. The seminar was held in honor of the sixtieth birthday of Sh6ichir6 Sakai, one of the great leaders of Functional Analysis for many decades. This vol­ ume is dedicated to Professor Sakai, on the occasion of that birthday, with the respect and admiration of all the contributors and the participants at the seminar. H. Araki Kyoto, Japan R. Kadison Philadelphia, Pennsylvania, USA Contents Preface.... ..... ....... ........... ...... ......... ................ ...... ............... ... vii On Convex Combinations of Unitary Operators in C*-Algebras UFFE HAAGERUP ......................................................................... .

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Content:
Front Matter....Pages i-x
On Convex Combinations of Unitary Operators in C*-Algebras....Pages 1-13
Approximately Inner Derivations, Decompositions and Vector Fields of Simple C*-Algebras....Pages 15-113
Derivations in Commutative C*-Algebras....Pages 115-118
Representation of Quantum Groups....Pages 119-128
Automorphism Groups and Covariant Irreducible Representations....Pages 129-139
Proper Actions of Groups on C*-Algebras....Pages 141-182
On The Baum-Connes Conjecture....Pages 183-197
On Primitive Ideal Spaces of C*-Algebras over Certain Locally Compact Groupoids....Pages 199-204
On Sequences of Jones’ Projections....Pages 205-218
The Powers’ Binary Shifts on the Hyperfinite Factor of Type II1 ....Pages 219-225
Index Theory for Type III Factors....Pages 227-231
Relative Entropy of a Fixed Point Algebra....Pages 233-238
Jones Index Theory for C*-Algebras....Pages 239-250
Three Tensor Norms for Operator Spaces....Pages 251-264
Extension Problems for Maps on Operator Systems....Pages 265-273
Multivariable Toeplitz Operators and Index Theory....Pages 275-288
On Maximality of Analytic Subalgebras Associated with Flow in von Neumann Algebras....Pages 289-293
Reflections Relating a von Neumann Algebra and Its Commutant....Pages 295-304
Normal AW*-Algebras....Pages 305-307
Back Matter....Pages 309-310

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Content:
Front Matter....Pages i-x
On Convex Combinations of Unitary Operators in C*-Algebras....Pages 1-13
Approximately Inner Derivations, Decompositions and Vector Fields of Simple C*-Algebras....Pages 15-113
Derivations in Commutative C*-Algebras....Pages 115-118
Representation of Quantum Groups....Pages 119-128
Automorphism Groups and Covariant Irreducible Representations....Pages 129-139
Proper Actions of Groups on C*-Algebras....Pages 141-182
On The Baum-Connes Conjecture....Pages 183-197
On Primitive Ideal Spaces of C*-Algebras over Certain Locally Compact Groupoids....Pages 199-204
On Sequences of Jones’ Projections....Pages 205-218
The Powers’ Binary Shifts on the Hyperfinite Factor of Type II1 ....Pages 219-225
Index Theory for Type III Factors....Pages 227-231
Relative Entropy of a Fixed Point Algebra....Pages 233-238
Jones Index Theory for C*-Algebras....Pages 239-250
Three Tensor Norms for Operator Spaces....Pages 251-264
Extension Problems for Maps on Operator Systems....Pages 265-273
Multivariable Toeplitz Operators and Index Theory....Pages 275-288
On Maximality of Analytic Subalgebras Associated with Flow in von Neumann Algebras....Pages 289-293
Reflections Relating a von Neumann Algebra and Its Commutant....Pages 295-304
Normal AW*-Algebras....Pages 305-307
Back Matter....Pages 309-310
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