Mappings of Operator Algebras: Proceedings of the Japan—U.S. Joint Seminar,University of Pennsylvania, 1988This 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 ......................................................................... . |
Contents
The Noncommutative Tori | 18 |
The Inner Product | 29 |
Smooth Derivations | 35 |
Extensions of Lie Algebras | 40 |
Infinite Dimensional Lie Algebras | 57 |
Differential Geometry of the Cuntz Algebras | 66 |
Commutators and Cocycles | 72 |
The Cuntz States | 80 |
23 | 153 |
34 | 180 |
40 | 181 |
On the BaumConnes Conjecture | 183 |
On Primitive Ideal Spaces of CAlgebras over Certain | 199 |
57 | 218 |
The Powers Binary Shifts on the Hyperfinite Factor | 219 |
72 | 231 |
The Orthogonal Complement of the Tangent Space | 84 |
The Orthogonal Complement of the Approximately Inner Derivations in | 89 |
A Decomposition Theorem for Derivations in O 13 14 Bibliographical and Concluding Comments | 97 |
References | 105 |
IndexSubdivision of General References | 113 |
Derivations in Commutative CAlgebras | 115 |
Automorphism Groups and Covariant | 129 |
Research supported in part by | 140 |
20 | 144 |
Other editions - View all
Mappings of Operator Algebras: Proceedings of the Japan-U.S. Joint Seminar ... Huzihiro Araki,Richard V. Kadison No preview available - 1991 |
Mappings of Operator Algebras: Proceedings of the Japan—U.S. Joint Seminar ... H. Araki,R.V. Kadison No preview available - 2012 |
Common terms and phrases
abelian group action of G adjoint Anal approximately inner derivations assume automorphism Axa G bicharacter binary shifts Bratteli canonical closed derivation commutative conditional expectation conjecture Corollary corresponding crossed products decomposition defined definition denote dense domain dual Effros elements ergodic example factor finite dimensional foliations follows Funct functions given group G groupoid Haagerup Hilbert space homomorphism hyperfinite ideal inner derivations inner product integral invariant irreducible representation isomorphic Jones K-theory L₁ Lemma Lie algebra Lie group linear locally compact group M₁ manifold Math matrix matrix-normed max norms maximal Morita equivalence Neumann algebra noncommutative operator algebras operator spaces orthogonal path map preprint proof proper action Proposition resp respectively result satisfies signature sequence simple C*-algebra subfactor subgroup of G subspace tensor norms Theorem Toeplitz operators u₁ unbounded derivations unitary vector von Neumann algebra