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math.KT2013★ 5 cited
Realizing the analytic surgery group of Higson and Roe geometrically, Part I: The geometric model
Robin Deeley, Magnus Goffeng
We construct a geometric analog of the analytic surgery group of Higson and Roe for the assembly mapping for free actions of a group with values in a Banach algebra completion of t…
math.KT2013
Analytic and topological index maps with values in the K-theory of mapping cones
Robin J. Deeley
Index maps taking values in the -theory of a mapping cone are defined and discussed. The resulting index theorem can be viewed in analogy with the Freed-Melrose index theorem. T…