Abstract
An important notion in the theory of nonlocal operators is the notion of the crossed product of a C*-algebra by a discrete group. Such products (where for the algebra we consider an appropriate algebra of functions) play the role of algebras of symbols in this theory. In this section, we present necessary definitions and main facts of interest to us in the theory of crossed products.1
The notion of C*-crossed product is defined not only for discrete but also for arbitrary locally compact topological groups; e.g., see [27]. But we are interested only in the discrete case.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Birkhäuser Verlag AG
About this chapter
Cite this chapter
(2008). Nonlocal Functions and Bundles. In: Elliptic Theory and Noncommutative Geometry. Operator Theory: Advances and Applications, vol 183. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8775-4_2
Download citation
DOI: https://doi.org/10.1007/978-3-7643-8775-4_2
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8774-7
Online ISBN: 978-3-7643-8775-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)