Injectivity results for coarse homology theories

Abstract

We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class of linear groups or, more general, groups with finite decomposition complexity.

81 pages; several minor changes and corrections following a referee report; to appear in Proc. LMS

References in corpus (3)

• The asymptotic dimension of quotients by finite groups
• Regular Finite Decomposition Complexity
• Coarse homology theories and finite decomposition complexity

Cited by in corpus (3)

• Split injectivity of A-theoretic assembly maps
• The coarse index class with support
• Topological equivariant coarse K-homology