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 bargains an outline of the algebraic K-theory of a bunch utilizing a generalized homology thought. In instances the place the conjecture is understood to be a theorem, it provides a robust approach for computing the decrease algebraic K-theory of a bunch. This booklet includes a computation of the reduce algebraic K-theory of the break up third-dimensional crystallographic teams, a geometrically vital classification of third-dimensional crystallographic workforce, representing a 3rd of the full quantity. The ebook leads the reader via all facets of the calculation. the 1st chapters describe the break up crystallographic teams and their classifying areas. Later chapters gather the options which are had to practice the isomorphism theorem. the result's an invaluable place to begin for researchers who're drawn to the computational aspect of the Farrell-Jones isomorphism conjecture, and a contribution to the becoming literature within the box.

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