Equivariant K-Theory and Freeness of Group Actions on C*-Algebras
Freeness of an action of a compact Lie group on a compact Hausdorff space is equivalent to a simple condition on the corresponding equivariant K-theory. This fact can be regarded as a theorem on actions on a commutative C*-algebra, namely the algebra of continuous complex-valued functions on the spa...
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| Format: | Livre numérique |
| Langue: | Anglais |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1274 |
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| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Equivariant K-theory and freeness of group actions on C*-algebras, N. Christopher Phillips, 1987, Berlin, Springer-Verlag, 1 vol. (VIII-371 p.), Lecture notes in mathematics, 0-387-18277-2 • Equivariant K-Theory and Freeness of Group Actions on C*-Algebras, Texte imprimé, 9783662204658 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 084 | |a 46L55. 1985 | ||
| 084 | |a 46L80. 1985 | ||
| 084 | |a 46M20. 1985 | ||
| 100 | 1 | |a Phillips, Norman Christopher, |d 1956- | |
| 245 | 1 | 0 | |a Equivariant K-Theory and Freeness of Group Actions on C*-Algebras |c N. Christopher Phillips. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1274 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Introduction: The commutative case -- Equivariant K-theory of C*-algebras -- to equivariant KK-theory -- Basic properties of K-freeness -- Subgroups -- Tensor products -- K-freeness, saturation, and the strong connes spectrum -- Type I algebras -- AF algebras. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Freeness of an action of a compact Lie group on a compact Hausdorff space is equivalent to a simple condition on the corresponding equivariant K-theory. This fact can be regarded as a theorem on actions on a commutative C*-algebra, namely the algebra of continuous complex-valued functions on the space. The successes of "noncommutative topology" suggest that one should try to generalize this result to actions on arbitrary C*-algebras. Lacking an appropriate definition of a free action on a C*-algebra, one is led instead to the study of actions satisfying conditions on equivariant K-theory - in the cases of spaces, simply freeness. The first third of this book is a detailed exposition of equivariant K-theory and KK-theory, assuming only a general knowledge of C*-algebras and some ordinary K-theory. It continues with the author's research on K-theoretic freeness of actions. It is shown that many properties of freeness generalize, while others do not, and that certain forms of K-theoretic freeness are related to other noncommutative measures of freeness, such as the Connes spectrum. The implications of K-theoretic freeness for actions on type I and AF algebras are also examined, and in these cases K-theoretic freeness is characterized analytically. | ||
| 650 | |a Lie, Groupes de | ||
| 650 | |a C*-algèbres | ||
| 650 | |a K-théorie | ||
| 650 | |a Topologie algébrique | ||
| 776 | 0 | |0 020392060 |t Equivariant K-theory and freeness of group actions on C*-algebras |f N. Christopher Phillips |d 1987 |c Berlin |n Springer-Verlag |p 1 vol. (VIII-371 p.) |s Lecture notes in mathematics |z 0-387-18277-2 | |
| 776 | 0 | |t Equivariant K-Theory and Freeness of Group Actions on C*-Algebras |b Texte imprimé |z 9783662204658 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0078657 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-R709VH4G-9 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750631651 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0078657 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753988194 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0078657 |z Accès INSA CVL | |
| 997 | |0 972913 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||