Combinatorial Set Theory of C*-algebras
This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras (C*-algebras, in particular) is relatively young and...
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| Autor Corporativo: | |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing
2019.
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| Edición: | 1st ed |
| Colección: | Springer Monographs in Mathematics ;
Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b40645071*spi |
Tabla de Contenidos:
- 1. C*-algebras, Abstract and Concrete
- 2. Examples and Constructions of C*-algebras
- 3. Representations of C*-algebras
- 4. Tracial States and Representations of C*-algebras
- 5. Irreducible Representations of C*-algebras
- Part II Set Theory and Nonseparable C*-algebras
- 6. Infinitary Combinatorics, I
- 7. Infinitary Combinatorics, II: The Metric Case
- 8. Additional Set-Theoretic Axioms
- 9. Set Theory and Quotients
- 10. Constructions of Nonseparable C*-algebras, I: Graph CCR Algebras
- 11. Constructions of Nonseparable C*-algebras, II
- Part III Massive Quotient C*-algebras
- 12. The Calkin Algebra
- 13. Multiplier Algebras and Coronas
- 14. Gaps and Incompactness
- 15. Degree-1 Saturation
- 16. Full Saturation
- 17. Automorphisms of Massive Quotient C*-Algebras.-Part IV Appendices
- A. Axiomatic Set Theory
- B. Descriptive Set Theory
- C. Functional Analysis
- D. Model Theory
- References
- Index
- List of Symbols.
