| |
|
Keshab Chandra Bakshi and
Satyajit Guin
On Pimsner-Popa orthonormal basis and Popa's relative dimension of projections
view
print
|
|
| Published: |
July 10, 2025. |
| Keywords: |
Pimsner-Popa basis, unitary orthonormal basis,
relative dimension of projections, Jones index, commuting square. |
| Subject [2020]: |
46L37, 46L10. |
|
|
Abstract
We show that any depth 2 subfactor with a simple first relative commutant has a unitary orthonormal basis. As a pleasant consequence, we produce new elements in the set of Popa's relative dimension of projections for such subfactors. We also construct infinitely many new elements in the set of relative dimension of projections for subfactors arising from complex Hadamard matrices and bi-unitary matrices.
|
|
| Acknowledgements
Keshab Chandra Bakshi acknowledges the support of DST INSPIRE Faculty fellowship DST/INSPIRE/04/2019/002754, and Satyajit Guin acknowledges the support of SERB grant MTR/2021/000818.
|
|
| Author information
Keshab Chandra Bakshi
Department of Mathematics and Statistics
Indian Institute of Technology
Kanpur, Uttar Pradesh 208016, India
bakshi209@gmail.com
Satyajit Guin
Department of Mathematics and Statistics
Indian Institute of Technology
Kanpur, Uttar Pradesh 208016, India
sguin@iitk.ac.in
|
|
