Equivariant K-Theory and Freeness of Group Actions on C*-Algebras / Lecture Notes in Mathematics Bd.1274 (PDF)
(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...
sofort als Download lieferbar
eBook (pdf)
39.58 €
19 DeutschlandCard Punkte sammeln
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenloser tolino webreader
Produktdetails
Produktinformationen zu „Equivariant K-Theory and Freeness of Group Actions on C*-Algebras / Lecture Notes in Mathematics Bd.1274 (PDF)“
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.
Bibliographische Angaben
- Autor: N. Christopher Phillips
- 2006, 1987, 374 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 354047868X
- ISBN-13: 9783540478683
- Erscheinungsdatum: 15.11.2006
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Größe: 30 MB
- Ohne Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
Kommentar zu "Equivariant K-Theory and Freeness of Group Actions on C*-Algebras / Lecture Notes in Mathematics Bd.1274"
0 Gebrauchte Artikel zu „Equivariant K-Theory and Freeness of Group Actions on C*-Algebras / Lecture Notes in Mathematics Bd.1274“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Equivariant K-Theory and Freeness of Group Actions on C*-Algebras / Lecture Notes in Mathematics Bd.1274".
Kommentar verfassen