James Fletcher

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20172019

most citedIterating the Cuntz-Nica-Pimsner construction for compactly aligned product systems

6 citations · 10 across the 6 of their papers we have counts for

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math.OA2017

Higher-rank graph algebras are iterated Cuntz-Pimsner algebras

James Fletcher

Given a finitely aligned $k$ -graph $Λ$ , we let $Λ^{i}$ denote the $(k - 1)$ -graph formed by removing all edges of degree $e_{i}$ from $Λ$ . We show that the Toeplitz-Cuntz-Krieger algebra…

math.OA2017★ 6 cited

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 $(G, P)$ relate to decompositions of the Nica-Toeplitz algebra $N T_{X}$ and Cuntz-Nica-…

math.OA2017

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 $X = {X_{p} : p \in P}$ indexed by a semigroup $P$ , endowed with a multi…