An introduction to K-theory for C*-algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK
Cambridge University Press
2000
|
| Schriftenreihe: | London Mathematical Society student texts
49 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 231-233) and indexes 1. C*-algebra theory -- 2. Projections and unitary elements -- 3. The K0-group of a unital C*-algebra -- 4. The functor K0 -- 5. The ordered Abelian group K0(A) -- 6. Inductive limit C*-algebras -- 7. Classification of AF-algebras -- 8. The functor K1 -- 9. The index map -- 10. The higher K-functors -- 11. Bott periodicity -- 12. The six-term exact sequence -- 13. Inductive limits of dimension drop algebras "Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra."--pub. desc |
| Beschreibung: | 1 Online-Ressource (xii, 242 p.) |
| ISBN: | 0511623801 0511826036 0521783348 0521789443 1107363098 1107368006 9780511623806 9780511826030 9780521783347 9780521789448 9781107363090 9781107368002 |
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| 245 | 1 | 0 | |a An introduction to K-theory for C*-algebras |c M. Rørdam, F. Larsen, N. Laustsen |
| 264 | 1 | |a Cambridge, UK |b Cambridge University Press |c 2000 | |
| 300 | |a 1 Online-Ressource (xii, 242 p.) | ||
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| 490 | 0 | |a London Mathematical Society student texts |v 49 | |
| 500 | |a Includes bibliographical references (p. 231-233) and indexes | ||
| 500 | |a 1. C*-algebra theory -- 2. Projections and unitary elements -- 3. The K0-group of a unital C*-algebra -- 4. The functor K0 -- 5. The ordered Abelian group K0(A) -- 6. Inductive limit C*-algebras -- 7. Classification of AF-algebras -- 8. The functor K1 -- 9. The index map -- 10. The higher K-functors -- 11. Bott periodicity -- 12. The six-term exact sequence -- 13. Inductive limits of dimension drop algebras | ||
| 500 | |a "Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics | ||
| 500 | |a Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra."--pub. desc | ||
| 650 | 4 | |a K-théorie | |
| 650 | 4 | |a C*-algèbres | |
| 650 | 7 | |a C* ÁLGEBRAS (ANÁLISE FUNCIONAL) |2 larpcal | |
| 650 | 7 | |a K-theorie |2 gtt | |
| 650 | 7 | |a C*-algebra's |2 gtt | |
| 650 | 7 | |a K-Theorie |2 swd | |
| 650 | 7 | |a C-Stern-Algebra |2 swd | |
| 650 | 7 | |a K-théorie |2 ram | |
| 650 | 7 | |a C*-algèbres |2 ram | |
| 650 | 7 | |a MATHEMATICS / Algebra / Linear |2 bisacsh | |
| 650 | 7 | |a C*-algebras |2 fast | |
| 650 | 7 | |a K-theory |2 fast | |
| 650 | 4 | |a K-theory | |
| 650 | 4 | |a C*-algebras | |
| 650 | 0 | 7 | |a C-Stern-Algebra |0 (DE-588)4136693-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische K-Theorie |0 (DE-588)4141839-6 |2 gnd |9 rswk-swf |
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| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Larsen, F. |e Sonstige |4 oth | |
| 700 | 1 | |a Laustsen, N. |e Sonstige |4 oth | |
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Datensatz im Suchindex
| _version_ | 1804175428408049664 |
|---|---|
| any_adam_object | |
| author | Rørdam, M., (Mikael) |
| author_facet | Rørdam, M., (Mikael) |
| author_role | aut |
| author_sort | Rørdam, M., (Mikael) |
| author_variant | m m r mm mmr |
| building | Verbundindex |
| bvnumber | BV043056472 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)831625390 (DE-599)BVBBV043056472 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043056472 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:08Z |
| institution | BVB |
| isbn | 0511623801 0511826036 0521783348 0521789443 1107363098 1107368006 9780511623806 9780511826030 9780521783347 9780521789448 9781107363090 9781107368002 |
| language | English |
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| oclc_num | 831625390 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xii, 242 p.) |
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| publishDate | 2000 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society student texts |
| spelling | Rørdam, M., (Mikael) Verfasser aut An introduction to K-theory for C*-algebras M. Rørdam, F. Larsen, N. Laustsen Cambridge, UK Cambridge University Press 2000 1 Online-Ressource (xii, 242 p.) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 49 Includes bibliographical references (p. 231-233) and indexes 1. C*-algebra theory -- 2. Projections and unitary elements -- 3. The K0-group of a unital C*-algebra -- 4. The functor K0 -- 5. The ordered Abelian group K0(A) -- 6. Inductive limit C*-algebras -- 7. Classification of AF-algebras -- 8. The functor K1 -- 9. The index map -- 10. The higher K-functors -- 11. Bott periodicity -- 12. The six-term exact sequence -- 13. Inductive limits of dimension drop algebras "Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra."--pub. desc K-théorie C*-algèbres C* ÁLGEBRAS (ANÁLISE FUNCIONAL) larpcal K-theorie gtt C*-algebra's gtt K-Theorie swd C-Stern-Algebra swd K-théorie ram C*-algèbres ram MATHEMATICS / Algebra / Linear bisacsh C*-algebras fast K-theory fast K-theory C*-algebras C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf Algebraische K-Theorie (DE-588)4141839-6 gnd rswk-swf Algebraische K-Theorie (DE-588)4141839-6 s C-Stern-Algebra (DE-588)4136693-1 s 1\p DE-604 Larsen, F. Sonstige oth Laustsen, N. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=551362 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rørdam, M., (Mikael) An introduction to K-theory for C*-algebras K-théorie C*-algèbres C* ÁLGEBRAS (ANÁLISE FUNCIONAL) larpcal K-theorie gtt C*-algebra's gtt K-Theorie swd C-Stern-Algebra swd K-théorie ram C*-algèbres ram MATHEMATICS / Algebra / Linear bisacsh C*-algebras fast K-theory fast K-theory C*-algebras C-Stern-Algebra (DE-588)4136693-1 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd |
| subject_GND | (DE-588)4136693-1 (DE-588)4141839-6 |
| title | An introduction to K-theory for C*-algebras |
| title_auth | An introduction to K-theory for C*-algebras |
| title_exact_search | An introduction to K-theory for C*-algebras |
| title_full | An introduction to K-theory for C*-algebras M. Rørdam, F. Larsen, N. Laustsen |
| title_fullStr | An introduction to K-theory for C*-algebras M. Rørdam, F. Larsen, N. Laustsen |
| title_full_unstemmed | An introduction to K-theory for C*-algebras M. Rørdam, F. Larsen, N. Laustsen |
| title_short | An introduction to K-theory for C*-algebras |
| title_sort | an introduction to k theory for c algebras |
| topic | K-théorie C*-algèbres C* ÁLGEBRAS (ANÁLISE FUNCIONAL) larpcal K-theorie gtt C*-algebra's gtt K-Theorie swd C-Stern-Algebra swd K-théorie ram C*-algèbres ram MATHEMATICS / Algebra / Linear bisacsh C*-algebras fast K-theory fast K-theory C*-algebras C-Stern-Algebra (DE-588)4136693-1 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd |
| topic_facet | K-théorie C*-algèbres C* ÁLGEBRAS (ANÁLISE FUNCIONAL) K-theorie C*-algebra's K-Theorie C-Stern-Algebra MATHEMATICS / Algebra / Linear C*-algebras K-theory Algebraische K-Theorie |
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