{
  "id": "1602.06680",
  "version": "v1",
  "published": "2016-02-22T08:34:25.000Z",
  "updated": "2016-02-22T08:34:25.000Z",
  "title": "Weak containment and Rokhlin entropy",
  "authors": [
    "Brandon Seward"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We define a new notion of weak containment for joinings, and we show that this notion implies an inequality between relative Rokhlin entropies. This leads to new upper bounds to Rokhlin entropy. We also use this notion to study how Pinsker algebras behave under direct products, and we study the Rokhlin entropy of restricted actions of finite-index subgroups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-22T08:34:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A35",
      "37A15"
    ],
    "keywords": [
      "rokhlin entropy",
      "weak containment",
      "pinsker algebras behave",
      "finite-index subgroups",
      "notion implies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160206680S"
    }
  }
}