Stevenson, G. (2013) Support theory via actions of tensor triangulated categories. Journal für die reine und angewandte Mathematik (Crelles Journal), 2013(681), (doi: 10.1515/crelle-2012-0025)
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Abstract
We give a definition of the action of a tensor triangulated category T on a triangulated category K. In the case that T is rigidly-compactly generated and K is compactly generated we show this gives rise to a notion of supports which categorifies work of Benson, Iyengar, and Krause and extends work of Balmer and Favi. We prove that a suitable version of the local-to-global principle holds very generally. A relative version of the telescope conjecture is formulated and we give a sufficient condition for it to hold.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Stevenson, Dr Gregory |
| Authors: | Stevenson, G. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal für die reine und angewandte Mathematik (Crelles Journal) |
| Publisher: | De Gruyter |
| ISSN: | 0075-4102 |
| ISSN (Online): | 0075-4102 |
| Published Online: | 03 August 2013 |
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