## Banach Journal of Mathematical Analysis

### Comparison of one-sided modules

Kunal Mukherjee

#### Abstract

Given an inclusion $N\subset M$ of $\rm{II}_{1}$ factors with trivial relative commutant, this paper lists all operators $x,y\in M$ such that the left $N$-module generated by $x$ is equal to or contained in the right $N$-module generated by $y$.

#### Article information

Source
Banach J. Math. Anal., Volume 6, Number 1 (2012), 132-138.

Dates
First available in Project Euclid: 14 May 2012

https://projecteuclid.org/euclid.bjma/1337014671

Digital Object Identifier
doi:10.15352/bjma/1337014671

Mathematical Reviews number (MathSciNet)
MR2862549

Zentralblatt MATH identifier
1255.46029

Subjects
Primary: 46L10: General theory of von Neumann algebras
Secondary: 46L37: Subfactors and their classification

#### Citation

Mukherjee, Kunal. Comparison of one-sided modules. Banach J. Math. Anal. 6 (2012), no. 1, 132--138. doi:10.15352/bjma/1337014671. https://projecteuclid.org/euclid.bjma/1337014671