TY  - BOOK
AU  - Bratteli,Ola
AU  - Jorgensen,Palle E.T.
TI  - Iterated Function Systems and Permutation Representations of the Cuntz Algebra
T2  - Memoirs of the American Mathematical Society
SN  - 9781470402525
AV  - QA326 -- .B73 1999eb 
U1  - 510 s;512/.55 
PY  - 1999///
CY  - Providence
PB  - American Mathematical Society
KW  - C*-algebras
KW  - Fourier analysis
KW  - Representations of groups
KW  - Hilbert space
KW  - Electronic books
N1  - Intro -- Contents -- List of Figures -- Chapter 1. Introduction -- Chapter 2. Permutative representations of O[sub(N)] -- Chapter 3. Monomial representations and integers modulo N -- Chapter 4. Cycles of irreducible O[sub(N)] representations and their atoms of UHF[sub(N)] representations -- Chapter 5. Relations of finite type and sub-Cuntz states -- Chapter 6. The shift representation -- Chapter 7. The universal permutative multiplicity-free representation -- Chapter 8. Some specific examples of the cycle and atom structure: The mod N case -- 8.1. The case N = 2 -- 8.2. The case N general, s[sub(i)] = i for i ε z[sub(N)] = {0,1,...,N…1} -- 8.3. The case N = 3, {s[sub(i)]} = {1,3,5} -- Chapter 9. Some specific examples of the cycle and atom structure: The mod N case -- 9.1. A matrix case -- 9.2. Another matrix case: full spectrum -- 9.3. Self-similarity and tiles -- 9.4. Tiles in the plane -- 9.5. Single-atom cases -- 9.6. Multiple coverings -- 9.7. Box spline matrices -- Chapter 10. The general mod N situation -- Chapter 11. Concluding remarks -- Bibliography -- List of Symbols
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114422
ER  -