Iterated function systems and permutation representations of the Cuntz algebra /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bratteli, Ola
Otros Autores: Jørgensen, Palle E. T., 1947-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©1999.
Colección:Memoirs of the American Mathematical Society ; no. 663.
Temas:
C*-algebras.
Fourier analysis.
Representations of groups.
Hilbert space.
Fourier Analysis
C*-algèbres.
Analyse de Fourier.
Représentations de groupes.
Espace de Hilbert.
MATHEMATICS > Essays.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
C*-algebras
Fourier analysis
Hilbert space
Representations of groups
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction 2. Permutative representations of $\mathcal {O}_N$ 3. Monomial representations and integers modulo $N$ 4. Cycles of irreducible $\mathcal {O}_N$ representations and their atoms of $\mathrm {UHF}_N$ representations 5. Relations of finite type and sub-Cuntz states 6. The shift representation 7. The universal permutative multiplicity-free representation 8. Some specific examples of the cycle and atom structure: The mod $N$ case 9. Some specific examples of the cycle and atom structure: The mod N case 10. The general mod N situation 11. Concluding remarks.

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