Measure Theory in Noncommutative Spaces
The integral in noncommutative geometry (NCG) involves a non-standard trace called a Dixmier trace. The geometric origins of this integral are well known. From a measure-theoretic view, however, the formulation contains several difficulties. We review results concerning the technical features of the...
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| Дата: | 2010 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146508 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Measure Theory in Noncommutative Spaces / S. Lord, F. Sukochev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 75 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146508 |
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dspace |
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irk-123456789-1465082019-02-11T01:23:41Z Measure Theory in Noncommutative Spaces Lord, S. Sukochev, F. The integral in noncommutative geometry (NCG) involves a non-standard trace called a Dixmier trace. The geometric origins of this integral are well known. From a measure-theoretic view, however, the formulation contains several difficulties. We review results concerning the technical features of the integral in NCG and some outstanding problems in this area. The review is aimed for the general user of NCG. 2010 Article Measure Theory in Noncommutative Spaces / S. Lord, F. Sukochev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 75 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 46L51; 47B10; 58B34 DOI:10.3842/SIGMA.2010.072 http://dspace.nbuv.gov.ua/handle/123456789/146508 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The integral in noncommutative geometry (NCG) involves a non-standard trace called a Dixmier trace. The geometric origins of this integral are well known. From a measure-theoretic view, however, the formulation contains several difficulties. We review results concerning the technical features of the integral in NCG and some outstanding problems in this area. The review is aimed for the general user of NCG. |
| format |
Article |
| author |
Lord, S. Sukochev, F. |
| spellingShingle |
Lord, S. Sukochev, F. Measure Theory in Noncommutative Spaces Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Lord, S. Sukochev, F. |
| author_sort |
Lord, S. |
| title |
Measure Theory in Noncommutative Spaces |
| title_short |
Measure Theory in Noncommutative Spaces |
| title_full |
Measure Theory in Noncommutative Spaces |
| title_fullStr |
Measure Theory in Noncommutative Spaces |
| title_full_unstemmed |
Measure Theory in Noncommutative Spaces |
| title_sort |
measure theory in noncommutative spaces |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146508 |
| citation_txt |
Measure Theory in Noncommutative Spaces / S. Lord, F. Sukochev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 75 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT lords measuretheoryinnoncommutativespaces AT sukochevf measuretheoryinnoncommutativespaces |
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2023-05-20T17:24:57Z |
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2023-05-20T17:24:57Z |
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1796153237910323200 |