Translator Disclaimer
2019 The comparison properties and large subalgebra are inheritance
Qingzhai Fan, Xiaochun Fang, Xia Zhao
Rocky Mountain J. Math. 49(6): 1857-1867 (2019). DOI: 10.1216/RMJ-2019-49-6-1857

Abstract

Let $A$ be a an infinite dimensional stably finite unital simple separable exact ${\rm C^*}$-algebra. Let $B\subset A$ be a stably large subalgebra in $A$ such that $B$ has $m$-comparison of positive elements property (strong tracial $m$-comparison of positive elements property). Then $A$ has $m$-comparison of positive elements property (strong tracial $m$-comparison of positive elements property).

Citation

Download Citation

Qingzhai Fan. Xiaochun Fang. Xia Zhao. "The comparison properties and large subalgebra are inheritance." Rocky Mountain J. Math. 49 (6) 1857 - 1867, 2019. https://doi.org/10.1216/RMJ-2019-49-6-1857

Information

Published: 2019
First available in Project Euclid: 3 November 2019

zbMATH: 07136582
MathSciNet: MR4027237
Digital Object Identifier: 10.1216/RMJ-2019-49-6-1857

Subjects:
Primary: 46L05, 46L35, 46L80

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

JOURNAL ARTICLE
11 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.49 • No. 6 • 2019
Back to Top