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20122023
most citedNoncommutative Uncertainty Principles

44 citations · 91 across the 21 of their papers we have counts for

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Showing math.OAShow all

10 papers · 1 filter

math.OA2020★ 23 cited

Quantum Fourier Analysis

Arthur Jaffe, Chunlan Jiang, Zhengwei Liu +2

{\em Quantum Fourier analysis} is a new subject that combines an algebraic Fourier transform (pictorial in the case of subfactor theory) with analytic estimates. This provides inte…

math.OA2019

Hausdorffifized algebraic group and invariants for -algebras with the ideal property

Guihua Gong, Chunlan Jiang, Liangqing Li

A -algebra is said to have the ideal property if each closed two-sided ideal of is generated by the projections inside the ideal, as a closed two sided ideal. -al…

math.OA2019

On the inductive limit of direct sums of simple TAI algebras

Bo Cui, Chunlan Jiang, Liangqing Li

An ATAI (or ATAF, respectively) algebra, introduced in [Jiang1] (or in [Fa] respectively) is an inductive limit $\lim\limits_{n\rightarrow\infty}(A_{n}=\bigoplus\limits_{i=1}A_{n}^…

math.OA2019

On the Decomposition Theorems for C*-algebras

Chunlan Jiang, Liangqing Li, Kun Wang

Elliott dimension drop interval algebra is an important class among all -algebras in the classification theory. Especially, they are building stones of algebra…

math.OA2017★ 2 cited

Block maps and Fourier analysis

Changlan Jiang, Zhengwei Liu, Jinsong Wu

We introduce block maps for subfactors and study their dynamic systems. We prove that the limit points of the dynamic system are positive multiples of biprojections and zero. For t…

math.OA2016★ 7 cited

A classification of inductive limit -algebras with ideal property

Guihua Gong, Chunlan Jiang, Liangqing Li

Let be an algebra , where are compact metri…