**Proceedings of Symposia in Pure Mathematics**

Volume: 38;
1982;
632 pp;
Hardcover

MSC: Primary 46;

Print ISBN: 978-0-8218-1441-3

Product Code: PSPUM/38.1

List Price: $87.00

Individual Member Price: $69.60

**Electronic ISBN: 978-0-8218-9327-2
Product Code: PSPUM/38.1.E**

List Price: $87.00

Individual Member Price: $69.60

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# Operator Algebras and Applications, Part 1

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*Richard V. Kadison*

# Table of Contents

## Operator Algebras and Applications, Part 1

- Table of Contents iii4 free
- Author index xi12 free
- Preface xvii18 free
- Operator algebras—the first forty years 122 free
- On the structure theory of C*-algebras: some old and new problems 1940
- Homological invariants of extensions of C*-algebras 3556
- Geometric resolutions and the Künneth formula for C*-algebras 7798
- The K-groups for free products of C*-algebras 81102
- The internal structure of simple C*-algebras 85106
- K homology and index theory 117138
- Extensions of AF algebras: the projection lifting problem 175196
- On the K-theory of the C*-algebra generated by a projective representation of Z[sup(n)] 177198
- Extensions of Cuntz-Krieger algebras 181202
- EXT-groups as K-groups 185206
- On a conjecture of Effros-Shen 187208
- Positive matrices and dimension groups affiliated to topological Markov chains 191212
- A graph theory for C*-algebras 195216
- The harmonic analysis of automorphism groups 199220
- Dynamical systems and crossed products 271292
- Morita equivalence for operator algebras 285306
- Applications of strong Morita equivalence to transformation group C*-algebras 299320
- On certain properties of crossed products 311332
- Minimal abelian group actions on type I C*-algebras 323344
- Twisted crossed products, the "Mackey Machine," and the Effros-Hahn conjecture 327348
- Equivariant K-theory and crossed product C*-algebras 337358
- C*-algebras of groupoids and foliations 339360
- Period two automorphisms 351372
- Fixedpoint algebras versus crossed products 357378
- The dual topology of a crossed product and applications to group representations 361382
- Ideals of C*-crossed products by locally compact abelian groups 365386
- Duality for C*-crossed products and its applications 369390
- A correspondence between subgroups and subalgebras in a C*-crossed product 375396
- Tensor products and nuclear C*-algebras 379400
- Stone-Weierstrass theorems for separable C*-algebras 401422
- On maximal abelian subalgebras of C*-algebras 409430
- Pure states as a dual object for C*-algebras 413434
- L[sup(2)]-index theory on homogeneous spaces and discrete series representations 419440
- Unitary representation of Lie groups and generalized symplectic geometry 435456
- Characters and semicharacters on connected Lie groups 467488
- Classical groups and classical Lie algebras of operators 477498
- Some representations of U(∞) 515536
- A survey of foliations and operator algebras 521542
- Some properties of the C*-algebra associated with a foliation 629650