New PDF release: Algebraic K-theory of Crystallographic Groups: The

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 idea. 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 gaggle. This ebook includes a computation of the decrease algebraic K-theory of the break up third-dimensional crystallographic teams, a geometrically very important type of third-dimensional crystallographic team, representing a 3rd of the entire quantity. The e-book leads the reader via all features of the calculation. the 1st chapters describe the break up crystallographic teams and their classifying areas. Later chapters gather the thoughts which are had to observe the isomorphism theorem. the result's an invaluable start line for researchers who're attracted to the computational facet of the Farrell-Jones isomorphism conjecture, and a contribution to the growing 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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