Idempotent matrices over complex group algebras
The study of idempotent elements in group algebras (or, more generally, the study of classes in the K-theory of such algebras) originates from geometric and analytic considerations. For example, C.T.C. Wall [72] has shown that the problem of deciding whether a ?nitely dominated space with fundamenta...
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
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Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2006. |
| Edice: | Universitext
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Description d'après consultation du 05 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Idempotent matrices over complex group algebras, Ioannis Emmanouil, Berlin, Springer, 2006, 1 volume (XIII-276 pages), Universitext, 3-540-27990-3 • Idempotent Matrices over Complex Group Algebras, Texte imprimé, 9783540813514 • Idempotent matrices over complex group algebras, Ioannis Emmanouil, Berlin, Springer, 2006, 1 volume (XIII-276 pages), Universitext, 3-540-27990-3 |
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| 020 | |a 9783540279914 | ||
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| 100 | 1 | |a Emmanouil, Ioannis. | |
| 245 | 1 | 0 | |a Idempotent matrices over complex group algebras |c Ioannis Emmanouil. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Description d'après consultation du 05 avril 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Introduction Motivating Examples Reduction to Positive Characteristic A Homological Approach Completions of CG Appendices: Tools from Commutative Algebra Discrete Ring-valued Integrals Frobenius' Density Theorem Homological Techniques Comparison of Projections | |
| 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 The study of idempotent elements in group algebras (or, more generally, the study of classes in the K-theory of such algebras) originates from geometric and analytic considerations. For example, C.T.C. Wall [72] has shown that the problem of deciding whether a ?nitely dominated space with fundamental group? is homotopy equivalent to a ?nite CW-complex leads naturally to the study of a certain class in the reduced K-theoryK (Z?) of the group ringZ?. 0 As another example, consider a discrete groupG which acts freely, properly discontinuously, cocompactly and isometrically on a Riemannian manifold. Then, following A. Connes and H. Moscovici [16], the index of an invariant 0th-order elliptic pseudo-di?erential operator is de?ned as an element in the ? ? K -group of the reduced groupC -algebraCG. 0 r Theidempotentconjecture(alsoknownasthegeneralizedKadisonconjec- ? ? ture) asserts that the reduced groupC -algebraCG of a discrete torsion-free r groupG has no idempotents =0,1; this claim is known to be a consequence of a far-reaching conjecture of P. Baum and A. Connes [6]. Alternatively, one mayapproachtheidempotentconjectureasanassertionabouttheconnect- ness of a non-commutative space;ifG is a discrete torsion-free abelian group ? thenCG is the algebra of continuous complex-valued functions on the dual r | ||
| 650 | |a Idempotents | ||
| 650 | |a Algèbres de groupes | ||
| 776 | 0 | |0 097462586 |t Idempotent matrices over complex group algebras |f Ioannis Emmanouil |c Berlin |n Springer |d 2006 |p 1 volume (XIII-276 pages) |s Universitext |z 3-540-27990-3 | |
| 776 | 0 | |t Idempotent Matrices over Complex Group Algebras |b Texte imprimé |z 9783540813514 | |
| 776 | 0 | |0 097462586 |t Idempotent matrices over complex group algebras |f Ioannis Emmanouil |c Berlin |n Springer |d 2006 |p 1 volume (XIII-276 pages) |s Universitext |z 3-540-27990-3 | |
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