Chu, C.-H. and Li, X. (2018) Amenability, Reiter's condition and Liouville property. Journal of Functional Analysis, 274(12), pp. 3291-3324. (doi: 10.1016/j.jfa.2018.03.014)
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Abstract
We show that the Liouville property and Reiter's condition are equivalent for semigroupoids. This result applies to semigroups as well as semigroup actions. In the special case of measured groupoids and locally compact groupoids, our result proves Kaimanovich's conjecture of the equivalence of amenability and the Liouville property.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Li, Professor Xin |
| Authors: | Chu, C.-H., and Li, X. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Functional Analysis |
| Publisher: | Elsevier |
| ISSN: | 0022-1236 |
| ISSN (Online): | 1096-0783 |
| Published Online: | 04 April 2018 |
| Copyright Holders: | Copyright © 2018 Elsevier Inc. |
| First Published: | First published in Journal of Functional Analysis 274(12): 3291-3324 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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