C*-algebra extensions and K-homology:
Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the compact metrizabl...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
[1980]
|
| Series: | Annals of Mathematics Studies
number 95 |
| Subjects: | |
| Online Access: | Volltext |
| Summary: | Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ⃗ Ext (X) defines a homotopy invariant covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows, following Atiyah, that a concrete realization of K-homology is obtained |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) |
| Physical Description: | 1 online resource |
| ISBN: | 9781400881468 |
| DOI: | 10.1515/9781400881468 |
Staff View
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| indexdate | 2024-07-10T07:33:08Z |
| institution | BVB |
| isbn | 9781400881468 |
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| spelling | Douglas, Ronald G. aut C*-algebra extensions and K-homology Ronald G. Douglas Princeton, NJ Princeton University Press [1980] © 1980 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 95 Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ⃗ Ext (X) defines a homotopy invariant covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows, following Atiyah, that a concrete realization of K-homology is obtained In English Algebra, Homological C*-algebras K-theory Homologische Algebra (DE-588)4160598-6 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf K-Theorie (DE-588)4033335-8 gnd rswk-swf K-Theorie (DE-588)4033335-8 s Homologische Algebra (DE-588)4160598-6 s DE-604 C-Stern-Algebra (DE-588)4136693-1 s Erscheint auch als Druck-Ausgabe 0-691-08265-0 Annals of Mathematics Studies number 95 (DE-604)BV040389493 95 https://doi.org/10.1515/9781400881468?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Douglas, Ronald G. C*-algebra extensions and K-homology Annals of Mathematics Studies Algebra, Homological C*-algebras K-theory Homologische Algebra (DE-588)4160598-6 gnd C-Stern-Algebra (DE-588)4136693-1 gnd K-Theorie (DE-588)4033335-8 gnd |
| subject_GND | (DE-588)4160598-6 (DE-588)4136693-1 (DE-588)4033335-8 |
| title | C*-algebra extensions and K-homology |
| title_auth | C*-algebra extensions and K-homology |
| title_exact_search | C*-algebra extensions and K-homology |
| title_full | C*-algebra extensions and K-homology Ronald G. Douglas |
| title_fullStr | C*-algebra extensions and K-homology Ronald G. Douglas |
| title_full_unstemmed | C*-algebra extensions and K-homology Ronald G. Douglas |
| title_short | C*-algebra extensions and K-homology |
| title_sort | c algebra extensions and k homology |
| topic | Algebra, Homological C*-algebras K-theory Homologische Algebra (DE-588)4160598-6 gnd C-Stern-Algebra (DE-588)4136693-1 gnd K-Theorie (DE-588)4033335-8 gnd |
| topic_facet | Algebra, Homological C*-algebras K-theory Homologische Algebra C-Stern-Algebra K-Theorie |
| url | https://doi.org/10.1515/9781400881468?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT douglasronaldg calgebraextensionsandkhomology |