Equivariant K-Theory and Freeness of Group Actions on C*-Algebras
(Sprache: Englisch)
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...
Leider schon ausverkauft
versandkostenfrei
Buch
42.75 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
Produktdetails
Produktinformationen zu „Equivariant K-Theory and Freeness of Group Actions on C*-Algebras “
Klappentext zu „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 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.
Inhaltsverzeichnis zu „Equivariant K-Theory and Freeness of Group Actions on C*-Algebras “
- Introduction: The Commutative Case- Equivariant K-Theory of C*-Algebras
- Introduction 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
- References
- Author Reference Index
- Index of Notation
- Subject Index
Bibliographische Angaben
- Autor: N. Christopher Phillips
- 1987, 380 Seiten, Maße: 15,5 x 23,5 cm, Taschenbuch, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540182772
- ISBN-13: 9783540182771
- Erscheinungsdatum: 23.09.1987
Sprache:
Englisch
Kommentar zu "Equivariant K-Theory and Freeness of Group Actions on C*-Algebras"
0 Gebrauchte Artikel zu „Equivariant K-Theory and Freeness of Group Actions on C*-Algebras“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Equivariant K-Theory and Freeness of Group Actions on C*-Algebras".
Kommentar verfassen