Bratteli, Ola. <br/><br/>
Iterated Function Systems and Permutation Representations of the Cuntz Algebra. 

 - 1st ed. 
 - 1 online resource (106 pages) 
 - Memoirs of the American Mathematical Society ;  v.139 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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)] =  -- 8.3. The case N = 3,  =  -- 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. 
<br/><br/><label>ISBN: </label>9781470402525 
<br/><br/><label>Subjects--Topical Terms: </label><br/>C*-algebras.<br/>Fourier analysis.<br/>Representations of groups.<br/>Hilbert space.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA326 -- .B73 1999eb 
<br/><br/><label>Dewey Class. No.: </label>510 s;512/.55