nLab
noncommutative stable homotopy theory

Context

Noncommutative geometry

Stable Homotopy theory

Index theory

Contents

Idea

By noncommutative stable homotopy theory is meant an analog of classical stable homotopy theory obtained as one passes from topology to noncommutative topology, hence as one generalizes topological spaces to non-neccesarily commutative (formal duals of) C*-algebras.

The concrete implementation of such noncommutative stable homotopy theory is usually taken to be KK-theory or rather E-theory. See there for details.

References

A reference that mentions the term “noncommutative stable homotopy theory” explicitly is

But see at KK-theory and E-theory for more references.

Revised on May 20, 2013 12:43:04 by Urs Schreiber (89.204.130.66)