Barlak, Selçuk: On the K-theory of crossed product C*-algebras by actions of Z n. 2014
Inhalt
- Introduction
- Preliminaries
- Bott elements associated with almost commuting unitaries
- The Pimsner-Voiculescu sequence
- Recalling the Pimsner-Voiculescu sequence
- Lifts for the boundary maps of the Pimsner-Voiculescu sequence
- The K-theory of crossed products by Z2-actions
- The obstruction homomorphism associated with a Z2-action
- The special case of pointwise inner Z2-actions
- Alternative descriptions of the obstruction homomorphism
- Examples of non-trivial obstruction homomorphisms
- Locally KK-trivial Z2-actions on Kirchberg algebras
- A natural action on the group C*-algebra of the discrete Heisenberg group
- Certain pointwise inner actions on amalgamated free product C*-algebras
- Endomorphic homotopies between Zn-actions
- Spectral sequences associated with Zn-actions
- Spectral sequences arising from finite cofiltrations of C*-algebras
- A spectral sequence for the K-theory of crossed products by Zn
- Bibliography