{
  "annotation_id": "a3f6dba2-c568-4a3f-9927-ed045009152a",
  "date_created": "2026-02-17T05:53:08.555000Z",
  "date_modified": "2026-02-17T05:53:08.555000Z",
  "file_hash": "98244b78ba2de32c94e96761178660e5a82aecbfc5325f55d4567bd75a1e25fe",
  "private": false,
  "record": {
    "abstract": "Let $n\\geq 2$ and $G_n=\\mathbb{Z}^n\\rtimes SL_n(\\mathbb{Z})$. We classify all $G_n$-invariant von Neumann subalgebras in $L(G_n)$. For $n=2$, this gives an alternative proof of the previous result of Jiang-Liu. For $n\\geq 3$, this gives the first class of property (T) groups without the invariant subalgebras rigidity property but invariant subalgebras in the corresponding group factors can still be classified. As a corollary, $L(G_n)$ admits a unique maximal Haagerup $G_n$-invariant von Neumann subalgebra.",
    "arxiv_id": "2601.06353",
    "authors": [
      "Yongle Jiang",
      "Hongyi Li"
    ],
    "categories": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Classification of Invariant Subalgebras in a class of factors with property (T)",
    "url": "https://arxiv.org/abs/2601.06353",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7c4434a8-1ab3-45df-b1a6-585cb260d0ff",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}