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Paper Citation Record · LEDGER

Trace-norm rigidity for reduced products of unitary groups and matrix algebras

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.19556.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.19556 v1

Coverage vector

measured 24 of 24 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T12:31:49.086919Z

measured 24 of 24 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

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Reference resolution

24 of 24 outbound references displayed

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Outbound references

Observation 1989f753-77ce-455f-9fda-1b7766261f68 · outbound

This paper cites Ulam stability for classes of nuclear C*-algebras.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Ulam stability for classes of nuclear C*-algebras

Reference 1

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source=pdf_text observed=2026-08-01T12:31:46.276521Z digest=sha256:3743f373facc387ee9a411bd698a5a0fd3be58b9ef6380d20892a1eadcecf18b

Observation a6cb5640-90c0-41e5-8e13-3f8914d88e2d · outbound

This paper cites The hyperfinite II$_1$-factor is Ulam stable.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras The hyperfinite II$_1$-factor is Ulam stable

Reference 2

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source=pdf_text observed=2026-08-01T12:31:46.326981Z digest=sha256:8034a0fa082cfdc934e2f4bf7fc42fe93866729ffb999371eba4a3f422986902

Observation 4e1bd134-5f90-4a1e-b8af-fa6d029a906a · outbound

This paper cites Dubuc and Daniele Mundici,Extending Stone duality to multisets and locally finite MV-algebras, Journal of Pure and Applied Algebra189(2004), no.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Dubuc and Daniele Mundici,Extending Stone duality to multisets and locally finite MV-algebras, Journal of Pure and Applied Algebra189(2004), no

Reference 3

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source=pdf_text observed=2026-08-01T12:31:46.429669Z digest=sha256:fa5303102ae64de943c9dc64eb73d966c14a969c9350e85cb8ebd6c820dad78f

Observation 5ea8d8b6-f2e4-4fc5-8b79-7e4ddd6ef996 · outbound

This paper cites 1, 98–118.↑2, 2.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 1, 98–118.↑2, 2

Reference 4

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source=pdf_text observed=2026-08-01T12:31:46.486996Z digest=sha256:0c813e5c82925958dd9d2faacf09d467d7bc5dd0a29fa741bf05a8eddf0d0d18

Observation fac7501c-8d6e-4b87-b15d-a9dc7e887c61 · outbound

This paper cites Trivial Isomorphisms between Reduced Products.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Trivial Isomorphisms between Reduced Products

Reference 5

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source=pdf_text observed=2026-08-01T12:31:46.582843Z digest=sha256:37b4db5b4db00fb6e7388c5c40b18624410c8f56ce0e4011a489c7cd05963892

Observation d6b9402b-1bc9-4e98-b3a9-93a4b0a92808 · outbound

This paper cites On automorphism groups of metric reduced products of symmetric groups.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras On automorphism groups of metric reduced products of symmetric groups

Reference 6

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source=pdf_text observed=2026-08-01T12:31:46.675941Z digest=sha256:96caaf1f5190925a1018171052bd87bcbdddc1df3f3a9756968706bc847a16f4

Observation b7b1a83e-3869-461f-be27-41695d0536b0 · outbound

This paper cites Mathématique 363(2025), 415–424.↑1, 5.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Mathématique 363(2025), 415–424.↑1, 5

Reference 7

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source=pdf_text observed=2026-08-01T12:31:46.749364Z digest=sha256:5cab001c94d7de840d10ac305e2904c3206b32385c6078c9d50a746cd06f53dc

Observation bd12c6b3-c2fa-45ab-922c-9692e447fe93 · outbound

This paper cites 15, North-Holland Pub- lishing Co., Amsterdam–New York–Oxford, 1977.↑2 RIGIDITY IN TRACE NORM 27.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 15, North-Holland Pub- lishing Co., Amsterdam–New York–Oxford, 1977.↑2 RIGIDITY IN TRACE NORM 27

Reference 8

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source=pdf_text observed=2026-08-01T12:31:46.820976Z digest=sha256:aca295a9ddde858c3cea7d1ed461df47bb328f3b8e21b259cb5b289eb0ff8675

Observation 027a2461-4589-4aa7-8db0-d163c62f2c42 · outbound

This paper cites Dowerk,Algebraic and topological properties of unitary groups ofII1 factors, 2015.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Dowerk,Algebraic and topological properties of unitary groups ofII1 factors, 2015

Reference 9

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source=pdf_text observed=2026-08-01T12:31:46.905940Z digest=sha256:412b33b18afa3ff392c545bcbdb7b1e83bd357ee768134cfa5722a7d744980fd

Observation 30b50cd9-3de9-4d75-a1a7-f4ec06fed8a1 · outbound

This paper cites Dowerk and Andreas Thom,Bounded normal generation and invariant automatic continuity, Advances in Mathematics346(2019), 124–169.↑1, 4.9, 4.3.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Dowerk and Andreas Thom,Bounded normal generation and invariant automatic continuity, Advances in Mathematics346(2019), 124–169.↑1, 4.9, 4.3

Reference 10

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Observation 222a8df2-022e-4a8d-9ace-ddf0738bedad · outbound

This paper cites 3, 489–503.↑1.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 3, 489–503.↑1

Reference 11

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Observation a5966347-952e-40df-8a85-6b41bdc2ef0a · outbound

This paper cites 2, 619–661.↑1.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 2, 619–661.↑1

Reference 12

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Observation e34d9d1a-d00d-48e8-a245-04e50a6df251 · outbound

This paper cites an unresolved cited work.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Unresolved cited work

Reference 13

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Observation ee30505a-0f78-4fcf-b3ed-32ddca5e425e · outbound

This paper cites A first course, Graduate Texts in Mathe- matics, vol.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras A first course, Graduate Texts in Mathe- matics, vol

Reference 14

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source=pdf_text observed=2026-08-01T12:31:47.325332Z digest=sha256:f3339ed54b476e9048123f6baf691401ae6444bf96ac66411e14832207baa5b8

Observation 59b9fe2d-667e-4f5c-8214-935b7ec51378 · outbound

This paper cites 12, 1784–1817.↑2.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 12, 1784–1817.↑2

Reference 15

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source=pdf_text observed=2026-08-01T12:31:47.485926Z digest=sha256:f8d04b933027cb4bb883b0a4c974d6bea15410682b070c81e6b7ff6da95eb9e3

Observation 33855efe-d81c-4219-a822-22152564fc44 · outbound

This paper cites 4, 761–792.↑4.10.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 4, 761–792.↑4.10

Reference 16

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source=pdf_text observed=2026-08-01T12:31:47.630812Z digest=sha256:80d495cce8c2d361ece941098d91b943ad368b50c9c4a8d6b402e2a346fa3bf1

Observation b25c3f44-1675-42a0-b628-35590c17437f · outbound

This paper cites 222, Springer, Cham, 2015.↑3.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 222, Springer, Cham, 2015.↑3

Reference 17

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source=pdf_text observed=2026-08-01T12:31:47.857898Z digest=sha256:fbc64cfe3e5a8e1c618de967812768cee4b339b6075dd332c2afc3e3e6036fd0

Observation da07b7bf-7855-4b90-974e-ab9e6be613aa · outbound

This paper cites Knapp,Lie Groups Beyond an Introduction, Second, Progress in Mathematics, vol.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Knapp,Lie Groups Beyond an Introduction, Second, Progress in Mathematics, vol

Reference 18

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source=pdf_text observed=2026-08-01T12:31:47.975206Z digest=sha256:2c669493d80d3235b2e510311bf940ae6d04c6d2b1ace4956a63c0af0a53dfc1

Observation 5174c0b4-e6bc-4798-92b4-5592511fb954 · outbound

This paper cites 1, 45–59.↑1.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 1, 45–59.↑1

Reference 19

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source=pdf_text observed=2026-08-01T12:31:48.144163Z digest=sha256:114b1e704087dce89362d2c263dda3b0d9f47a2b361a422425d7c1b220c9d868

Observation 7aa584cc-5dd1-4fa4-b875-8a3cca7126a5 · outbound

This paper cites 171, Springer, New York, 2016.↑3, 3.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 171, Springer, New York, 2016.↑3, 3

Reference 20

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Observation 5e5ce179-bb0a-4895-8f45-d2fe18bf24b1 · outbound

This paper cites 2, 293–308.↑2, 2.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 2, 293–308.↑2, 2

Reference 21

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source=pdf_text observed=2026-08-01T12:31:48.555422Z digest=sha256:e6d456fa869da6e09244c5bd3d268bdeb698ab5b6d721fa20d1d48426a802352

Observation bd7794da-2af9-49cc-bec4-cb8eee897e66 · outbound

This paper cites 124, Springer-Verlag, Berlin, 2002.↑.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras 124, Springer-Verlag, Berlin, 2002.↑

Reference 22

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source=pdf_text observed=2026-08-01T12:31:48.704307Z digest=sha256:605aed3fc934f7c9bfaf3fb7c4823d449a19f9fecf0c0b3ed5e05e1d0598addd

Observation 5cd83959-b59c-4c3d-883a-23122385412e · outbound

This paper cites arXiv:2511.03607.↑5.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras arXiv:2511.03607.↑5

Reference 23

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Observation ebab6917-8f17-486f-bbe6-4a37270ccc75 · outbound

This paper cites an unresolved cited work.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-01T12:31:49.086919Z digest=sha256:f28f5a5db1739698c6c74b6b2d774ce6eccccbf5098057cb711bfd6044bbbb70

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