2 citations · 5 across the 6 of their papers we have counts for
6 papers
Functoriality of real crossed product K-theory spectral sequences with respect to group homomorphisms
Jeffrey L. Boersema, Sarah L. Browne, Elizabeth Gillaspy +1
Spectral sequences are a key tool for computing the K-theory of a crossed product C-algebra. However, the impact of a group homomorphism on such a spectral se…
The Stable Exotic Cuntz Algebras are Higher-Rank Graph Algebras
Jeffrey L. Boersema, Sarah L. Browne, Elizabeth Gillaspy
For each odd integer , we construct a rank-3 graph with involution whose real C*-algebra is stably isomorphic to the exotic Cuntz a…
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…
E-theory for -Categories
Sarah L. Browne, Paul D. Mitchener
-theory was originally defined concretely by Connes and Higson and further work followed this construction. We generalise the definition to -categories. -categor…
E-theory Spectra for graded C*-algebras
Sarah L. Browne
This paper brings together C*-algebras and algebraic topology in terms of viewing a C*-algebraic invariant in terms of a topological spectrum. E-theory, E(A,B), is a bivariant func…
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…