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 gaggle utilizing a generalized homology conception. In instances the place the conjecture is understood to be a theorem, it supplies a robust procedure for computing the reduce algebraic K-theory of a bunch. This e-book encompasses a computation of the reduce algebraic K-theory of the cut up 3-dimensional crystallographic teams, a geometrically vital category of 3-dimensional crystallographic team, representing a 3rd of the complete quantity. The publication leads the reader via all elements of the calculation. the 1st chapters describe the cut up crystallographic teams and their classifying areas. Later chapters gather the strategies which are had to follow 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 turning out to be literature within the field.

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