Download e-book for iPad: 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 bargains an outline of the algebraic K-theory of a bunch utilizing a generalized homology conception. In instances the place the conjecture is understood to be a theorem, it offers a robust approach for computing the decrease algebraic K-theory of a bunch. This publication encompasses a computation of the decrease algebraic K-theory of the break up three-d crystallographic teams, a geometrically vital type of 3-dimensional crystallographic staff, representing a 3rd of the whole quantity. The ebook leads the reader via all facets 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 practice the isomorphism theorem. the result's an invaluable place to begin for researchers who're drawn to the computational part of the Farrell-Jones isomorphism conjecture, and a contribution to the starting to be 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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