Some endomorphisms of II_1 factors: part II
Operator Algebras
2007-05-23 v1 Functional Analysis
Abstract
For any finite dimensional C^*-algebra A with a trace vector \vec s whose entries are rational numbers, we give an endomorphism \Phi of the hyperfinite II_1 factor R such that: for all k \in \mathbb {N}, \Phi^k (R)' \cap R= \otimes^k A. The canonical trace \tau on R extends the trace vector \vec s on A. Therefore the minimal projection is not necessarily equivalent to each other.
Cite
@article{arxiv.math/0509461,
title = {Some endomorphisms of II_1 factors: part II},
author = {Hsiang-Ping Huang},
journal= {arXiv preprint arXiv:math/0509461},
year = {2007}
}