De Gruyter Studies in Mathematics. Trace Formulas:
This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are stud...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2023]
|
| Edition: | 2nd corr. and exten. edition |
| Series: | De Gruyter Studies in Mathematics
46/2 |
| Subjects: | |
| Online Access: | DE-1046 DE-1043 DE-858 DE-859 DE-860 DE-739 Volltext |
| Summary: | This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes' noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes' character formula concerning the Hochschild class of the Chern character |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Mrz 2023) |
| Physical Description: | 1 Online-Ressource (XL, 474 pages) |
| ISBN: | 9783110700176 |
| DOI: | 10.1515/9783110700176 |
Staff View
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| id | DE-604.BV048890294 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T21:48:19Z |
| indexdate | 2025-02-19T17:36:50Z |
| institution | BVB |
| isbn | 9783110700176 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034154880 |
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| physical | 1 Online-Ressource (XL, 474 pages) |
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| publisher | De Gruyter |
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| series2 | De Gruyter Studies in Mathematics |
| spelling | Lord, Steven Verfasser aut De Gruyter Studies in Mathematics. Trace Formulas Steven Lord, Fedor Sukochev, Dmitriy Zanin, Edward McDonald 2nd corr. and exten. edition Berlin ; Boston De Gruyter [2023] © 2023 1 Online-Ressource (XL, 474 pages) txt rdacontent c rdamedia cr rdacarrier De Gruyter Studies in Mathematics 46/2 Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Mrz 2023) This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes' noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes' character formula concerning the Hochschild class of the Chern character In English Diximier Trace Hilbertraum Pseudodifferentialoperator Singular Trace MATHEMATICS / Mathematical Analysis bisacsh Nichtkommutative Geometrie (DE-588)4171742-9 gnd rswk-swf Operatorenideal (DE-588)4284995-0 gnd rswk-swf Operatorraum (DE-588)4591231-2 gnd rswk-swf Spur Mathematik (DE-588)4202272-1 gnd rswk-swf Spur Mathematik (DE-588)4202272-1 s Operatorraum (DE-588)4591231-2 s Operatorenideal (DE-588)4284995-0 s Nichtkommutative Geometrie (DE-588)4171742-9 s DE-604 McDonald, Edward Sonstige oth Sukochev, Fedor Sonstige oth Zanin, Dmitriy Sonstige oth Erscheint auch als Druck-Ausgabe 9783110700008 https://doi.org/10.1515/9783110700176 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Lord, Steven De Gruyter Studies in Mathematics. Trace Formulas Diximier Trace Hilbertraum Pseudodifferentialoperator Singular Trace MATHEMATICS / Mathematical Analysis bisacsh Nichtkommutative Geometrie (DE-588)4171742-9 gnd Operatorenideal (DE-588)4284995-0 gnd Operatorraum (DE-588)4591231-2 gnd Spur Mathematik (DE-588)4202272-1 gnd |
| subject_GND | (DE-588)4171742-9 (DE-588)4284995-0 (DE-588)4591231-2 (DE-588)4202272-1 |
| title | De Gruyter Studies in Mathematics. Trace Formulas |
| title_auth | De Gruyter Studies in Mathematics. Trace Formulas |
| title_exact_search | De Gruyter Studies in Mathematics. Trace Formulas |
| title_exact_search_txtP | De Gruyter Studies in Mathematics. Trace Formulas |
| title_full | De Gruyter Studies in Mathematics. Trace Formulas Steven Lord, Fedor Sukochev, Dmitriy Zanin, Edward McDonald |
| title_fullStr | De Gruyter Studies in Mathematics. Trace Formulas Steven Lord, Fedor Sukochev, Dmitriy Zanin, Edward McDonald |
| title_full_unstemmed | De Gruyter Studies in Mathematics. Trace Formulas Steven Lord, Fedor Sukochev, Dmitriy Zanin, Edward McDonald |
| title_short | De Gruyter Studies in Mathematics. Trace Formulas |
| title_sort | de gruyter studies in mathematics trace formulas |
| topic | Diximier Trace Hilbertraum Pseudodifferentialoperator Singular Trace MATHEMATICS / Mathematical Analysis bisacsh Nichtkommutative Geometrie (DE-588)4171742-9 gnd Operatorenideal (DE-588)4284995-0 gnd Operatorraum (DE-588)4591231-2 gnd Spur Mathematik (DE-588)4202272-1 gnd |
| topic_facet | Diximier Trace Hilbertraum Pseudodifferentialoperator Singular Trace MATHEMATICS / Mathematical Analysis Nichtkommutative Geometrie Operatorenideal Operatorraum Spur Mathematik |
| url | https://doi.org/10.1515/9783110700176 |
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