UHF flows and the flip automorphism
算子代数
2009-10-31 v1 数学物理
math.MP
摘要
A UHF flow is an infinite tensor product type action of the reals on a UHF algebra and the flip automorphism is an automorphism of sending into . If is an inner perturbation of a UHF flow on , there is a sequence of unitaries in such that converges to zero and the flip is the limit of . We consider here whether the converse holds or not and solve it with an additional assumption: If and absorbs any UHF flow (i.e., is cocycle conjugate to ), then the converse holds; in this case is what we call a universal UHF flow.
关键词
引用
@article{arxiv.math/0011140,
title = {UHF flows and the flip automorphism},
author = {A. Kishimoto},
journal= {arXiv preprint arXiv:math/0011140},
year = {2009}
}
备注
18 pages