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math.KT2021★ 2 cited
K-homology and K-theory of pure Braid groups
Sara Azzali, Sarah L. Browne, Maria Paula Gomez Aparicio +2
We produce an explicit description of the K-theory and K-homology of the pure braid group on strands. We describe the Baum--Connes correspondence between the generators of the…
math.KT2016★ 1 cited
A Bott periodicity proof for real graded -algebras
Sarah L. Browne
We give a proof of Bott periodicity for real graded -algebras in terms of K- theory and E-theory. Guentner and Higson proved a similar result in the complex graded case but…