Chakraborty, Sayan: On homological invariants of some twisted group C*-algebras. 2018
Inhalt
- Introduction
- Preliminaries
- Twisted group algebras
- 2-cocycles on a group and twisted group C*-algebras
- The group H2(G,T)
- Some basic examples
- Group actions on K
- Equivariant KK-theory
- Baum-Connes conjecture for twisted group algebras
- The Baum-Connes conjecture with coefficients
- A brief remark on topological K-theory of G
- The conjecture for twisted group algebras
- Some tools to compute K-theory
- Some application of the twisted Baum-Connes conjecture
- K-theory of twisted crystallographic group algebras
- Locally convex algebras and m-algebras
- Noncommutative tori and K-theory
- Twisted groupoid algebras and their K-theory
- Projective modules over bundles of noncommutative tori
- Generators of K0 groups of noncommutative tori
- Projective modules over some noncommutative orbifolds
- Notation
- A quick look into noncommutative orbifolds
- Projective modules over noncommutative tori
- Projective modules over noncommutative orbifolds
- The 2-dimensional case - revisited
- Equivariant Connes-Thom isomorphism for C*-algebras
- Introduction
- Some basic definitions and notations
- Connes' pseudo-differential calculus
- Equivariant Connes–Thom isomorphism for equivariant KK theory
- Application: K-theory of equivariant quantization
- Traces on some crystallographic group algebras
- Introduction
- Some basic definitions
- Inducing traces on twisted algebras
- Zeroth cyclic cocycles of twisted crystallographic group algebras
- Some non-commutative orbifolds: the flip-case