Operator Algebras and Applications

doi:10.1017/CBO9780511662270

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.

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Contents

Frontmatter
pp i-iv
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Preface
pp v-v
- By D.E. Evans, Department of Mathematics & Computer Science University College of Swansea Singleton Park Swansea SA2 8PP Wales, U.K., M. Takesaki, Department of Mathematics University of California at Los Angeles 405 Hilgard Avenue California 90024 U.S.A.
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Contents
pp vi-vii
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UK-US Joint Seminar on Operator Algebras
pp viii-viii
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K-theory for discrete groups
pp 1-20
- By P. Baum, Department of Mathematics, Brown University, Providence, R.I. 1917, U.S.A., A. Connes, I.H.E.S., 91440 Bures-sur-Yvette, France.
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Comparison theory for simple C*-algebras
pp 21-54
- By B. Blackadar, University of Nevada, Reno
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Interpolation for multipliers
pp 55-60
- By L.G. Brown, Dept. of Mathematics, Purdue University, West Lafayette, Indiana 47907, U.S.A.
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Elliptic invariants and operator algebras: toroidal examples
pp 61-80
- By R.G. Douglas
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On multilinear double commutant theorems
pp 81-94
- By E.G. Effros, R. Exel
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Loop spaces, cyclic homology and the Chern character
pp 95-108
- By E. Getzler, Mathematics Department, Harvard University, Cambridge, MA 02138, USA., J.D.S. Jones, Mathematics Institute, The University of Warwick, Coventry CV4 7AL, England., S.B. Petrack, Département de Mathématiques, Université de Paris-Sud, Bâtiment 425, 91405 Orsay, France.
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The Weyl theorem and block decompositions
pp 109-118
- By R.V. Kadison, University of Pennsylvania Dedicated to Marshall H. Stone on his eighty fifth birthday
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Secondary invariants for elliptic operators and operator algebras
pp 119-126
- By J. Kaminker
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Inverse limits of C*-algebras and applications
pp 127-186
- By N.C. Phillips, University of California at Los Angeles, Los Angeles, CA 90024
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Partitioning non-compact manifolds and the dual Toeplitz problem
pp 187-228
- By J. Roe, Mathematical Institute 24–29 St. Giles Oxford.
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Cyclic cohomology of algebras of smooth functions on orbifolds
pp 229-244
- By A.J. Wassermann, (University of Liverpool and University of California, Berkeley)
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Operator Algebras and Applications

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Contents

Frontmatter
pp i-iv

Preface
pp v-v

Contents
pp vi-vii

UK-US Joint Seminar on Operator Algebras
pp viii-viii

K-theory for discrete groups
pp 1-20

Comparison theory for simple C*-algebras
pp 21-54

Interpolation for multipliers
pp 55-60

Elliptic invariants and operator algebras: toroidal examples
pp 61-80

On multilinear double commutant theorems
pp 81-94

Loop spaces, cyclic homology and the Chern character
pp 95-108

The Weyl theorem and block decompositions
pp 109-118

Secondary invariants for elliptic operators and operator algebras
pp 119-126

Inverse limits of C*-algebras and applications
pp 127-186

Partitioning non-compact manifolds and the dual Toeplitz problem
pp 187-228

Cyclic cohomology of algebras of smooth functions on orbifolds
pp 229-244

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Operator Algebras and Applications

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