Toms, A. S., White, S. and Winter, W. (2015) Z-stability and finite dimensional tracial boundaries. International Mathematics Research Notices, 2015(10), pp. 2702-2727. (doi: 10.1093/imrn/rnu001)
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Abstract
We show that a simple separable unital nuclear nonelementary C∗-algebra whose tracial state space has a compact extreme boundary with finite covering dimension admits uniformly tracially large order zero maps from matrix algebras into its central sequence algebra. As a consequence, strict comparison implies Z-stability for these algebras.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | White, Professor Stuart |
Authors: | Toms, A. S., White, S., and Winter, W. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | International Mathematics Research Notices |
Publisher: | Oxford University Press |
ISSN: | 1073-7928 |
ISSN (Online): | 1687-0247 |
Copyright Holders: | Copyright © 2014 Oxford University Press |
First Published: | First published in International Mathematics Research Notices 2015(10):2702-2727 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher. |
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