1.

Record Nr.

UNINA9910788746403321

Autore

Bratteli Ola

Titolo

Representation theory and numerical AF-invariants : the representations and centralizers of certain states on Od / / Ola Bratteli, Palle E.T. Jorgensen, Vasyl' Ostrovs'kyĭ

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2004

©2004

ISBN

1-4704-0395-1

Descrizione fisica

1 online resource (202 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 168, Number 797

Disciplina

515.48

Soggetti

Ergodic theory

Representations of groups

Selfadjoint operators

Linear operators

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"March 2004, Volume 168, Number 797 (second of 4 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Abstract""; ""Preface""; ""Introduction""; ""Part A. Representation Theory""; ""Chapter 1. General representations of O[sub(d)] on a separable Hilbert space""; ""Chapter 2. The free group on d generators""; ""Chapter 3. 946�KMS states for one�parameter subgroups of the action of T[sub(d)] on O[sub(d)]""; ""Chapter 4. Subalgebras of O[sub(d)]""; ""Part B. Numerical AF�Invariants""; ""Chapter 5. The dimension group of u[sub(L)]""; ""Chapter 6. Invariants related to the Perron�Frobenius eigenvalue""

""Chapter 14. Linear algebra of J""""Chapter 15. Lattice points""; ""Chapter 16. Complete classification in the cases λ= 2, N = 2, 3,4""; ""Chapter 17. Complete classification in the case λ = m[sub(N)]""; ""1. The case N = 1""; ""2. The case N = 2""; ""3. The case N = 3""; ""4. The case N â?? 4""; ""Chapter 18. Further comments on two examples from Chapter 16""; ""Bibliography""; ""List of Figures""; ""List of Tables""; ""List of Terms and Symbols""