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C^{*}-Algebras.
This volume contains the proceedings of an AMS Special Session held at the Joint Mathematics Meetings in San Antonio in January 1993 to celebrate the first fifty years of C^*-algebra theory. The book contains carefully written expository and research articles by leaders in the field. Also included i...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
1994.
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| Colección: | Contemporary Mathematics Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_on1037815586 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
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| 008 | 180526s1994 riu o 000 0 eng d | ||
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| 020 | |a 9780821877586 | ||
| 020 | |a 0821877585 | ||
| 029 | 1 | |a AU@ |b 000069467068 | |
| 035 | |a (OCoLC)1037815586 | ||
| 050 | 4 | |a QA326.C2 1994 | |
| 082 | 0 | 4 | |a 512/.55 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Doran, Robert S. | |
| 245 | 1 | 0 | |a C^{*}-Algebras. |
| 260 | |a Providence : |b American Mathematical Society, |c 1994. | ||
| 300 | |a 1 online resource (434 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Contemporary Mathematics Ser. ; |v v. 167 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Intro; Contents; Preface; On the imbedding of normed rings into the ring of operators in Hilbert space; Notes on the Gelfand-Neumark theorem; C*-algebras and quantization; Quantization and C*-algebras; Some quantizations and reflections inspired by the Gelfand-Naimark theorem; The role of C*-algebras in infinite dimensional numerical linear algebra; Projections in C*-algebras; C*-algebras and Mackey's theory of group representations; Transformation group C*-algebras: A selective survey; Algebraic topology and C*-algebras; 1. The initial early contacts; 2. Kasparov's bivariant homology theory. | |
| 505 | 8 | |a 3. Digression: A missed opportunity in topology4. K-Theory enters operator theory; 5. Torsion and Universal Coefficient Theorems; 6. The Kasparov Spectral Sequence; 7. The Limits of Algebraic Topology; 8. Applications to algebraic topology; Twenty-five years in the theory of type III von Neumann algebras; Classifying space for proper actions and K-theory of group C*-algebras; 0. Introduction; 1. Proper Actions; 2. Examples of EG; 3. Equivariant K-Homology; 4. Lie Groups; 5. Cosheaf Homology; 6. p-adic Groups; 7. Discrete Groups; 8. An Equivariant Novikov Conjecture. | |
| 505 | 8 | |a 9. The Conjecture with CoefficientsA1. Infinite Join Construction of EG; A2. Axioms for EG; A3. What Does BG Classify?; Odd index theorems and operator algebras; Index theory without symbols; 0. Introduction; 1. Alexander-Spanier Character; 1.1 Alexander-Spanier homology; 1.2 Support filtration and associated K-groups; 1.3 Antisymmetrized trace homomorphism; 1.4 Alexander-Spanier character: even case; 1.5 Suspended Chern character; 1.6 Alexander-Spanier character: odd case; 2. The Character Class; 2.1 Finite-dimensional K-class; 2.2 The character class: even case. | |
| 505 | 8 | |a 2.3 The character class: odd case2.4 The character class: unbounded picture; 3. The Homological Chern Character; 3.1 Pseudo-differential K-cycles; 3.2 Lipschitz K-cycles; A survey of exponential rank; 0. Introduction; 1. Definitions and motivation for exponential rank; 2. Some historical remarks; 3. Algebras of matrix valued functions and stable C*-algebras; 4. Real rank zero, weak (FU), and weak (FN); 5. Simple C*-algebras with real rank greater than zero; 6. Exponential length and multiplier algebras; 7. Exponential rank of Banach algebras; 8. Projective length and rank; 9. Commutators. | |
| 505 | 8 | |a 10. Other factorization problems11. Real and imaginary relations between the various ranks; 12. Applications; Appendix; On the imbedding of normed rings into the ring of operators in Hilbert space. | |
| 520 | |a This volume contains the proceedings of an AMS Special Session held at the Joint Mathematics Meetings in San Antonio in January 1993 to celebrate the first fifty years of C^*-algebra theory. The book contains carefully written expository and research articles by leaders in the field. Also included is a reprinting of the original 1943 paper on C^*-algebras by Gelfand and Neumark, which has had such a profound influence on the field. The volume covers a broad spectrum of topics, including the Gelfand-Neumark theorems, C^*-algebras and quantization, projections in C^*-algebras, Mackey's theory of. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a C*-algebras |v Congresses. | |
| 650 | 6 | |a C*-algèbres |v Congrès. | |
| 650 | 7 | |a C*-algebras |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Doran, Robert S. |t C^{*}-Algebras: 1943-1993. |d Providence : American Mathematical Society, ©1994 |z 9780821851753 |
| 830 | 0 | |a Contemporary Mathematics Ser. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5295207 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5295207 | ||
| 994 | |a 92 |b IZTAP | ||