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Index of Nonlocal Operators over C*-Algebras

Part of the Operator Theory: Advances and Applications book series (OT, volume 183)

Abstract

In this chapter, we obtain index formulas for nonlocal elliptic operators D = (D, P1, P2) over some C*-algebra Λ.1 As in the Mishchenko-Fomenko index theory [57], where one considers the index of local elliptic operators over C*-algebras and whose ideology we follow to a large extent here, the main role in the structure and the proof of such index formulas is played by the Künneth formula describing the K-group of tensor products of C*-algebras. To ensure that the Künneth formula applies, we assume throughout the chapter that the algebra Λ belongs to the so-called class N (bootstrap class) in the sense of [66]. Let us recall the definition of this class.

Keywords

Tensor Product Exact Sequence Projective Module Topological Index Index Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2008

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