Computations of K- and L-Theory of Cocompact Planar Groups

By Rolan Stamm. 2000

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On the Isomorphism Conjecture in algebraic K -theory (2001, methodology): “Further computational tools for the left-hand side are developed in [31].”
Topological Classification of Crystalline Insulators through Band Structure Combinatorics (2016, unknown): “[44 – 47].”
The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory (2004, background): “ = ...= c γt t = c −1 1 ···c −1 t [a 1,b]···[a g,b] = 1i for integers g,t≥0 and γi >1. Then G\EFIN(G) is a closed orientable surface of genus g. The following is a consequence of Theorem 8.12 (see [212] for more details). • There are isomorphisms Kn(C∗ r (F)) ∼= ( 2+ Pt i=1(γi −1) ·Z n= 0; (2g)·”
Survey on Classifying Spaces for Families of Subgroups (2003, background): “In [58] the larger class of cocompact planar groups (sometimes also called cocompact NEC-groups) is treated.”