6 citations · 10 across the 6 of their papers we have counts for
8 papers
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…
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 …
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…
-graded rings as Cuntz-Pimsner rings
Lisa Orloff Clark, James Fletcher, Roozbeh Hazrat +1
Given a -graded ring and a subring , it is natural to ask whether can be realised as the Cuntz-Pimsner ring of some -system. In this paper, we…
A program for finding all KMS states on the Toeplitz algebra of a higher-rank graph
James Fletcher, Astrid an Huef, Iain Raeburn
The Toeplitz algebra of a finite graph of rank carries a natural action of the torus , and composing with an embedding of in gives…
Higher-rank graph algebras are iterated Cuntz-Pimsner algebras
James Fletcher
Given a finitely aligned -graph , we let denote the -graph formed by removing all edges of degree from . We show that the Toeplitz-Cuntz-Krieger algebra…
Iterating the Cuntz-Nica-Pimsner construction for compactly aligned product systems
James Fletcher
In this article we study how decompositions of a quasi-lattice ordered group relate to decompositions of the Nica-Toeplitz algebra and Cuntz-Nica-…
A uniqueness theorem for the Nica-Toeplitz algebra of a compactly aligned product system
James Fletcher
Fowler introduced the notion of a product system: a collection of Hilbert bimodules indexed by a semigroup , endowed with a multi…