Von Neumann algebra

Von Neumann algebra - unital *-algebra of bounded operators on a Hilbert space closed in the weak operator topology. Article "Von Neumann algebra" in English Wikipedia has 37.6 points for quality (as of July 1, 2025). The article contains 2 references and 20 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Von Neumann algebra", its content was written by 111 registered users of English Wikipedia and edited by 242 registered Wikipedia users in all languages.

The article is cited 629 times in English Wikipedia and cited 918 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #8732 in April 2004
• Global: #28335 in April 2004

The highest popularity rank from 2008:

• Local (English): #255055 in October 2023
• Global: #334036 in August 2010

There are 15 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Von Neumann algebra		37.5605
2	Chinese (zh) 冯·诺伊曼代数		37.199
3	Greek (el) Άλγεβρα φον Νόιμαν		33.569
4	Korean (ko) 폰 노이만 대수		26.5937
5	Persian (fa) جبر فون نیومن		26.5613
6	German (de) Von-Neumann-Algebra		19.4561
7	Polish (pl) Algebra von Neumanna		19.1527
8	Indonesian (id) Aljabar von Neumann		15.6285
9	Portuguese (pt) Álgebra de von Neumann		15.2353
10	Catalan (ca) Àlgebra de von Neumann		13.9811

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The following table shows the most popular language versions of the article.

The most popular language versions of the article "Von Neumann algebra" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Von Neumann algebra		568 819
2	French (fr) Algèbre de von Neumann		61 158
3	Japanese (ja) フォン・ノイマン環		48 698
4	German (de) Von-Neumann-Algebra		48 312
5	Polish (pl) Algebra von Neumanna		14 496
6	Dutch (nl) Von Neumann-algebra		9 565
7	Portuguese (pt) Álgebra de von Neumann		6 017
8	Korean (ko) 폰 노이만 대수		4 211
9	Greek (el) Άλγεβρα φον Νόιμαν		2 719
10	Spanish (es) Álgebra de von Neumann		2 146

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The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Von Neumann algebra" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Von Neumann algebra		3 245
2	Japanese (ja) フォン・ノイマン環		316
3	French (fr) Algèbre de von Neumann		245
4	German (de) Von-Neumann-Algebra		167
5	Chinese (zh) 冯·诺伊曼代数		114
6	Spanish (es) Álgebra de von Neumann		75
7	Korean (ko) 폰 노이만 대수		53
8	Polish (pl) Algebra von Neumanna		47
9	Dutch (nl) Von Neumann-algebra		33
10	Portuguese (pt) Álgebra de von Neumann		29

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The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "Von Neumann algebra" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Von Neumann algebra		111
2	German (de) Von-Neumann-Algebra		34
3	Dutch (nl) Von Neumann-algebra		23
4	French (fr) Algèbre de von Neumann		16
5	Greek (el) Άλγεβρα φον Νόιμαν		15
6	Japanese (ja) フォン・ノイマン環		13
7	Polish (pl) Algebra von Neumanna		11
8	Portuguese (pt) Álgebra de von Neumann		5
9	Persian (fa) جبر فون نیومن		3
10	Indonesian (id) Aljabar von Neumann		3

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The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "Von Neumann algebra" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Catalan (ca) Àlgebra de von Neumann		0
2	German (de) Von-Neumann-Algebra		0
3	Greek (el) Άλγεβρα φον Νόιμαν		0
4	English (en) Von Neumann algebra		0
5	Spanish (es) Álgebra de von Neumann		0
6	Persian (fa) جبر فون نیومن		0
7	French (fr) Algèbre de von Neumann		0
8	Indonesian (id) Aljabar von Neumann		0
9	Japanese (ja) フォン・ノイマン環		0
10	Korean (ko) 폰 노이만 대수		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Von Neumann algebra" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Von Neumann algebra		629
2	German (de) Von-Neumann-Algebra		96
3	French (fr) Algèbre de von Neumann		39
4	Polish (pl) Algebra von Neumanna		38
5	Japanese (ja) フォン・ノイマン環		28
6	Korean (ko) 폰 노이만 대수		18
7	Chinese (zh) 冯·诺伊曼代数		17
8	Spanish (es) Álgebra de von Neumann		14
9	Dutch (nl) Von Neumann-algebra		9
10	Portuguese (pt) Álgebra de von Neumann		8

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#	Language	Value
ca	Catalan Àlgebra de von Neumann
de	German Von-Neumann-Algebra
el	Greek Άλγεβρα φον Νόιμαν
en	English Von Neumann algebra
es	Spanish Álgebra de von Neumann
fa	Persian جبر فون نیومن
fr	French Algèbre de von Neumann
id	Indonesian Aljabar von Neumann
ja	Japanese フォン・ノイマン環
ko	Korean 폰 노이만 대수
ms	Malay Algebra von Neumann
nl	Dutch Von Neumann-algebra
pl	Polish Algebra von Neumanna
pt	Portuguese Álgebra de von Neumann
zh	Chinese 冯·诺伊曼代数

Best Rank

English: #255055 10.2023

Global: #334036 08.2010

Best Rank

English: #8732 04.2004

Global: #28335 04.2004

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information