Iterated function systems and permutation representations of the Cuntz algebra / Ola Bratteli, Palle E.T. Jorgensen.

Format:

Book

Author/Creator:

Bratteli, Ola, author.

Jørgensen, Palle E. T., 1947- author.

Series:

Memoirs of the American Mathematical Society ; no. 663.

Memoirs of the American Mathematical Society, 0065-9266 ; number 663

Language:

English

Subjects (All):

C*-algebras.

Fourier analysis.

Representations of groups.

Hilbert space.

Physical Description:

1 online resource (106 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1999]

Language Note:

English

Summary:

This book is intended for graduate students and research mathematicians working in functional analysis.

Contents:

""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""

Notes:

"May 1999, volume 139, number 663 (second of 5 numbers)."

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0252-1