Download E-books Algebraic K-theory of Crystallographic Groups: The Three-Dimensional Splitting Case (Lecture Notes in Mathematics) PDF

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 gaggle utilizing a generalized homology conception. In situations the place the conjecture is understood to be a theorem, it supplies a strong procedure for computing the decrease algebraic K-theory of a bunch. This publication incorporates a computation of the reduce algebraic K-theory of the cut up three-d crystallographic teams, a geometrically vital classification of third-dimensional crystallographic staff, representing a 3rd of the entire quantity. The ebook 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 recommendations which are had to follow the isomorphism theorem. the result's an invaluable start line for researchers who're drawn to the computational aspect of the Farrell-Jones isomorphism conjecture, and a contribution to the turning out to be literature within the box.

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