| |
|
Keshab Chandra Bakshi and
Ved Prakash Gupta
On orthogonal systems, two-sided bases, and regular subfactors
view
print
|
|
| Published: |
July 29, 2020. |
| Keywords: |
Orthogonal system, Pimsner-Popa basis, subfactor, regularity. |
| Subject: |
46L37. |
|
|
Abstract
We prove that a regular subfactor of type II1 with finite Jones index always admits a two-sided
Pimsner-Popa basis. This is preceded by a pragmatic revisit of Popa's notion of orthogonal systems.
|
|
| Acknowledgements
The first named author was supported partially by a postdoctoral fellowship of the National Board of Higher Mathematics (NBHM), India.
|
|
| Author information
Keshab Chandra Bakshi:
Chennai Mathematical Institute
Chennai, INDIA
bakshi209@gmail.com
Ved Prakash Gupta:
School of Physical Sciences
Jawaharlal Nehru University
New Delhi, INDIA
ved.math@gmail.com
|
|
