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20152022
most citedThe Covariant Stone-von Neumann Theorem for Actions of Abelian Groups on -Algebras of Compact Operators

2 citations · 3 across the 10 of their papers we have counts for

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6 papers · 1 filter

math.OA2022

Group Actions on Product Systems

Valentin Deaconu, Leonard Huang

We introduce the concept of crossed product of a product system by a locally compact group. We prove that the crossed product of a row-finite and faithful product system by an amen…

math.OA2021

The Modular Stone-von Neumann Theorem

Lucas Hall, Leonard Huang, John Quigg

In this paper, we use the tools of nonabelian duality to formulate and prove a far-reaching generalization of the Stone-von Neumann Theorem to modular representations of actions an…

math.OA2020

Cocycles on Certain Groupoids Associated to -Actions

Carla Farsi, Leonard Huang, Alex Kumjian +1

We consider groupoids constructed from a finite number of commuting local homeomorphisms acting on a compact metric space, and study generalized Ruelle operators and -a…

math.OA2018

Bundles of Generalized Fixed-Point Algebras for Proper Groupoid Dynamical Systems

Jonathan H. Brown, Leonard T. Huang

In this paper, we show that the generalized fixed-point algebra of a proper groupoid dynamical system, under certain assumptions, may be fibered over any locally compact Hausdorff…

math.OA2018

Automatic Continuity of -Representations for Discrete Twisted -Dynamical Systems

Leonard T. Huang

In this paper, we will establish the relatively unknown result that every -representation for a discrete twisted -dynamical system is automaticall…

math.OA2018

Metrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg's Levi-Civita Connections

Leonard Huang

We build metrized quantum vector bundles, over a generically transcendental quantum torus, from Riemannian metrics, using Rosenberg's Levi-Civita connections for these metrics. We…