Download e-book for kindle: Algebraic K-theory of Crystallographic Groups: The by Daniel Scott Farley,Ivonne Johanna Ortiz

By Daniel Scott Farley,Ivonne Johanna Ortiz

The Farrell-Jones isomorphism conjecture in algebraic K-theory deals an outline of the algebraic K-theory of a bunch utilizing a generalized homology conception. In circumstances the place the conjecture is understood to be a theorem, it offers a robust approach for computing the reduce algebraic K-theory of a bunch. This ebook encompasses a computation of the reduce algebraic K-theory of the break up third-dimensional crystallographic teams, a geometrically very important category of three-d crystallographic staff, representing a 3rd of the complete quantity. The e-book leads the reader via all features of the calculation. the 1st chapters describe the cut up crystallographic teams and their classifying areas. Later chapters gather the suggestions which are had to follow the isomorphism theorem. the result's an invaluable start line for researchers who're attracted to the computational part of the Farrell-Jones isomorphism conjecture, and a contribution to the transforming into literature within the field.

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Algebraic K-theory of Crystallographic Groups: The Three-Dimensional Splitting Case (Lecture Notes in Mathematics) by Daniel Scott Farley,Ivonne Johanna Ortiz


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