Pith Number

pith:WPTOBU3L

pith:2025:WPTOBU3LKCWTIV4PGHVB2IK6YJ

not attested not anchored not stored refs pending

W*-superrigidity for discrete quantum groups

Milan Donvil, Stefaan Vaes

A family of co-induced discrete quantum groups can be recovered from their von Neumann algebras.

arxiv:2504.03266 v2 · 2025-04-04 · math.OA · math.GR · math.QA

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\usepackage{pith}
\pithnumber{WPTOBU3LKCWTIV4PGHVB2IK6YJ}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We prove that this strengthened quantum W*-superrigidity property holds for a natural family of co-induced discrete quantum groups. We also prove that, remarkably, most existing families of W*-superrigid groups are not quantum W*-superrigid.

C2weakest assumption

The specific definition of quantum W*-superrigidity is chosen so that the co-induced construction preserves the recovery property while classical W*-superrigid groups fail it; this depends on how the quantum group von Neumann algebra is defined and how co-induction interacts with it.

C3one line summary

Introduces quantum W*-superrigidity for discrete quantum groups, proves it for co-induced families, and shows most classical W*-superrigid groups fail the quantum version.

Receipt and verification

First computed	2026-06-09T01:05:06.184465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3e6e0d36b50ad34578f31ea1d215ec2400960ed993deb69d0c00164a09bd779

Aliases

arxiv: 2504.03266 · arxiv_version: 2504.03266v2 · doi: 10.48550/arxiv.2504.03266 · pith_short_12: WPTOBU3LKCWT · pith_short_16: WPTOBU3LKCWTIV4P · pith_short_8: WPTOBU3L

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WPTOBU3LKCWTIV4PGHVB2IK6YJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b3e6e0d36b50ad34578f31ea1d215ec2400960ed993deb69d0c00164a09bd779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b64df4cc588352724e573f85c34849195589a5648a65a52f313aba7fe21cc540",
    "cross_cats_sorted": [
      "math.GR",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-04-04T08:27:39Z",
    "title_canon_sha256": "09b0e8112ad76b2020d92e978f6a2a73a30ac97e26fac1ff7622d4413cedfe58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.03266",
    "kind": "arxiv",
    "version": 2
  }
}