activity
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

collaborators

10 papers

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-ph2019★ 2 cited

The Covariant Stone-von Neumann Theorem for Actions of Abelian Groups on -Algebras of Compact Operators

Leonard Huang, Lara Ismert

In this paper, we formulate and prove a version of the Stone-von Neumann Theorem for every -dynamical system of the form , where …

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.FA2018

Generalization of a Real-Analysis Result to a Class of Topological Vector Spaces

Leonard T. Huang

In this paper, we generalize an elementary real-analysis result to a class of topological vector spaces. We also give an example of a topological vector space to which the result c…

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…

math-ph2017★ 1 cited

An Infinitesimal Version of the Stone-von Neumann Theorem

Leonard Huang

In this paper, we present an infinitesimal version of the Stone-von Neumann Theorem. This work was motivated by the need to formulate the uniqueness property of the Heisenberg Comm…

math.RT2015

Generalized Fixed-Point Algebras for Twisted -Dynamical Systems

Leonard Huang

In his seminal paper "Generalized Fixed Point Algebras and Square-Integrable Group Actions", Ralf Meyer showed how to construct generalized fixed-point algebras for -dy…