Read e-book online Algebraic K-theory of Crystallographic Groups: The 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 concept. In circumstances the place the conjecture is understood to be a theorem, it supplies a strong strategy for computing the decrease algebraic K-theory of a gaggle. This e-book incorporates a computation of the decrease algebraic K-theory of the break up 3-dimensional crystallographic teams, a geometrically very important category of 3-dimensional crystallographic crew, representing a 3rd of the whole quantity. The booklet 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 ideas 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 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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