3 papers
math.OA2019
The free field: realization via unbounded operators and Atiyah property
Tobias Mai, Roland Speicher, Sheng Yin
Let be operators in a finite von Neumann algebra and consider their division closure in the affiliated unbounded operators. We address the question when this divisi…
math.OA2018
The free field: zero divisors, Atiyah property and realizations via unbounded operators
Tobias Mai, Roland Speicher, Sheng Yin
We consider noncommutative rational functions as well as matrices in polynomials in noncommuting variables in two settings: in an algebraic context the variables are formal variabl…
math.OA2017
Non-commutative rational function in strongly convergent random variables
Sheng Yin
Random matrices like GUE, GOE and GSE have been studied for decades and have been shown that they possess a lot of nice properties. In 2005, a new property of independent GUE rando…