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math.OA2019★ 2 cited
Homotopy of product systems and K-theory of Cuntz-Nica-Pimsner algebras
James Fletcher, Elizabeth Gillaspy, Aidan Sims
We introduce the notion of a homotopy of product systems, and show that the Cuntz-Nica-Pimsner algebras of homotopic product systems over N^k have isomorphic K-theory. As an applic…
math.OA2019★ 2 cited
Groupoid algebras as covariance algebras
Lisa Orloff Clark, James Fletcher
Suppose is a second-countable locally compact Hausdorff étale groupoid, is a discrete group containing a unital subsemigroup , and …
math.OA2019
All classifiable Kirchberg algebras are -algebras of ample groupoids
Lisa Orloff Clark, James Fletcher, Astrid an Huef
In this note we show that every Kirchberg algebra in the UCT class is the -algebra of a Hausdorff, ample, amenable and locally contracting groupoid. The non-unital case f…