An introduction to K-theory for C*-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*-algeb...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2000
|
| Schriftenreihe: | London Mathematical Society student texts
49 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | 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. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 242 Seiten) |
| ISBN: | 9780511623806 |
| DOI: | 10.1017/CBO9780511623806 |
Internformat
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| 520 | |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. 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. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject | ||
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Datensatz im Suchindex
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| author | Rørdam, Mikael 1959- |
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| author_facet | Rørdam, Mikael 1959- |
| author_role | aut |
| author_sort | Rørdam, Mikael 1959- |
| author_variant | m r mr |
| building | Verbundindex |
| bvnumber | BV043940751 |
| classification_rvk | SK 230 SK 300 SK 600 |
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| 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 |
| doi_str_mv | 10.1017/CBO9780511623806 |
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| indexdate | 2024-07-10T07:39:14Z |
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| isbn | 9780511623806 |
| language | English |
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| spelling | Rørdam, Mikael 1959- Verfasser (DE-588)174092466 aut An introduction to K-theory for C*-algebras M. Rørdam, F. Larsen, N. Laustsen Cambridge Cambridge University Press 2000 1 online resource (xii, 242 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 49 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject K-theory C*-algebras Algebraische K-Theorie (DE-588)4141839-6 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf Algebraische K-Theorie (DE-588)4141839-6 s C-Stern-Algebra (DE-588)4136693-1 s 1\p DE-604 Larsen, Flemming 1971- Sonstige (DE-588)173403786 oth Laustsen, N. J. 1969- Sonstige (DE-588)1143981367 oth Erscheint auch als Druck-Ausgabe 978-0-521-78334-7 Erscheint auch als Druck-Ausgabe 978-0-521-78944-8 https://doi.org/10.1017/CBO9780511623806 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rørdam, Mikael 1959- An introduction to K-theory for C*-algebras K-theory C*-algebras Algebraische K-Theorie (DE-588)4141839-6 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
| subject_GND | (DE-588)4141839-6 (DE-588)4136693-1 |
| 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-theory C*-algebras Algebraische K-Theorie (DE-588)4141839-6 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
| topic_facet | K-theory C*-algebras Algebraische K-Theorie C-Stern-Algebra |
| url | https://doi.org/10.1017/CBO9780511623806 |
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