The crossed product of a UHF algebra by a shift-Reference-Cited by-同舟云学术

The crossed product of a UHF algebra by a shift

Published:1993-12 Issue:4 Volume:13 Page:615-626
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Bratteli Ola,Størmer Erling,Kishimoto Akitaka,Rørdam Mikael

Abstract

AbstractWe prove that the crossed product of the CAR algebra M2∞ by the shift is an inductive limit of homogeneous algebras over the circle with fibres full matrix algebras. As a consequence the crossed product has real rank zero, and where is the Cuntz algebra of order 2.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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