{ "id": "math/0003207", "version": "v1", "published": "2000-03-29T21:53:38.000Z", "updated": "2000-03-29T21:53:38.000Z", "title": "Expansiveness of algebraic actions on connected groups", "authors": [ "Siddhartha Bhattacharya" ], "comment": "21 pages, no figures", "categories": [ "math.DS" ], "abstract": "We consider endomorphism actions of arbitrary discrete semigroups on a connected metrizable topological group G. We give necessary and sufficient conditions for expansiveness of such actions when G is a Lie group or a compact finite-dimensional group.", "revisions": [ { "version": "v1", "updated": "2000-03-29T21:53:38.000Z" } ], "analyses": { "subjects": [ "37C85" ], "keywords": [ "algebraic actions", "connected groups", "expansiveness", "compact finite-dimensional group", "arbitrary discrete semigroups" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math......3207B" } } }