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noncommutative torus

free unital C*-algebra generated by two generators U and V with UV=exp(iθ)VU, with θ irrational
Thing general Q3532264
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noncommutative torus

Summary

noncommutative torus ranks in the top 2% of general entities by monthly Wikipedia readership (6 views/month).[1]

Key Facts

  • noncommutative torus's subclass of is recorded as C*-algebra[2].
  • noncommutative torus's Freebase ID is recorded as /m/05q599k[3].
  • noncommutative torus's defining formula is recorded as UV=\exp(\mathrm i\theta)VU[4].
  • noncommutative torus's nLab ID is recorded as noncommutative torus[5].
  • noncommutative torus's maintained by WikiProject is recorded as WikiProject Mathematics[6].
  • noncommutative torus's Microsoft Academic ID is recorded as 2777667523[7].
  • noncommutative torus's Great Russian Encyclopedia portal ID is recorded as nekommutativnyi-tor-834fe2[8].

Why It Matters

noncommutative torus ranks in the top 2% of general entities by monthly Wikipedia readership (6 views/month).[1] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[9] It is known by 4 alternative names across languages and contexts.[10]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . Wikidata sitelinks. wikidata.org.
  3. [10] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). noncommutative torus. Retrieved April 10, 2026, from https://4ort.xyz/entity/noncommutative-torus
MLA “noncommutative torus.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/noncommutative-torus.
BibTeX @misc{4ortxyz_noncommutative-torus_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{noncommutative torus}}, year = {2026}, url = {https://4ort.xyz/entity/noncommutative-torus}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): noncommutative torus — https://4ort.xyz/entity/noncommutative-torus (retrieved 2026-04-10)

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