The Connes character formula for locally compact spectral triples/ (Record no. 433837)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02067nam a22002417a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240614062836.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240614b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9782856299821 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | ISI Library |
| Language of cataloging | English |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Edition number | 23 |
| Classification number | 512.556 |
| Item number | AS853 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Sukochev, Fedor |
| Relator term | author |
| 245 10 - TITLE STATEMENT | |
| Title | The Connes character formula for locally compact spectral triples/ |
| Statement of responsibility, etc | Fedor Sukochev & Dmitriy Zanin |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Marseille: |
| Name of publisher, distributor, etc | Société Mathématique de France, |
| Date of publication, distribution, etc | 2023 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | vi, 152 pages; |
| Dimensions | 20 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Astérisque |
| Volume number/sequential designation | 445 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliography |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction -- Preliminaries -- Special triples: Basic properties and examples -- Asymptotic of the heat trace -- Residue of the ζ-function and the Connes character formula -- Appendix |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | A fundamental tool in noncommutative geometry is Connes's character formula. This formula is used in an essential way in the applications of noncommutative geometry to index theory and to the spectral characterization of manifolds. A non-compact space is modeled in noncommutative geometry by a non-unital spectral triple. The authors' aim is to establish Connes's character formula for non-unital spectral triples. This is significantly more difficult than in the unital case, and they achieve it with the use of recently developed double operator integration techniques. Previously, only partial extensions of Connes's character formula to the non-unital case were known. In the course of the proof, the authors establish two more results of importance in noncommutative geometry: an asymptotic for the heat semigroup of a non-unital spectral triple and the analyticity of the associated [Riemann zeta] function. The authors require certain assumptions on the underlying spectral triple and verify these assumptions in the case of spectral triples associated to arbitrary complete Riemannian manifolds and also in the case of Moyal planes. |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Operator Algebras |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Zanin, Dmitriy |
| Relator term | author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
| Lost status | Not for loan | Home library | Current library | Date acquired | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|
| ISI Library, Kolkata | ISI Library, Kolkata | 14/06/2024 | 512.556 AS853 | C27401 | Books |
