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K-theory for group c*-algebras and semigroup c*-algebras / Joachim Cuntz...[et al.].

By: Contributor(s): Material type: TextTextSeries: Oberwolfach seminars ; v 47. Publication details: Cham : Birkhauser, 2017.Description: ix, 319 pages ; 25 cmISBN:
  • 9783319599144
Subject(s): DDC classification:
  • 512.66  23 C973
Contents:
1. Introduction.- 2. Crossed products and the Mackey-Rieffel-Green machine.- 3. Bivariant KK-Theory and the Baum-Connes conjecure.- 4. Quantitative K-theory for geometric operator algebras.- 5. Semigroup C*-algebras.- 6. Algebraic actions and their C*-algebras.- 7. Semigroup C*-algebras and toric varieties.
Summary: This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples.
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Includes bibliographical references.

1. Introduction.-
2. Crossed products and the Mackey-Rieffel-Green machine.-
3. Bivariant KK-Theory and the Baum-Connes conjecure.-
4. Quantitative K-theory for geometric operator algebras.-
5. Semigroup C*-algebras.-
6. Algebraic actions and their C*-algebras.-
7. Semigroup C*-algebras and toric varieties.

This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples.

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