Department of Mathematics | Indian Institute Of Technology Madras , Chennai

PhD - Texas A&M, MStat - ISI

On the simplicity of certain mixed \(q\)-deformed Araki-Woods \(C^\ast\)-algebras

Author: Mandal, Malay and Mukherjee, Kunal and Patri, Issan

Journal: J. Math. Anal. Appl.

Volume: 544
Page: Paper No. 129090, 9
DOI: https://doi.org/10.1016/j.jmaa.2024.129090
Year: 2025
Factoriality of mixed \(q\)-deformed Araki-Woods von Neumann algebras

Author: Bikram, Panchugopal and Kumar, R. Rahul and Mukherjee, Kunal

Journal: Infin. Dimens. Anal. Quantum Probab. Relat. Top.

Volume: 27
Page: Paper No. 2350019, 12
DOI: https://doi.org/10.1142/S0219025723500194
Year: 2024
On noninjectivity of mixed \(q\)-deformed Araki-Woods von Neumann algebras

Author: Bikram, Panchugopal and Kumar, Rahul and Mukherjee, Kunal

Journal: Kyoto J. Math.

Volume: 64
Page: 501--518
DOI: https://doi.org/10.1215/21562261-2023-0021
Year: 2024
Quasinormalizers in crossed products of von Neumann algebras

Author: Bannon, Jon P. and Cameron, Jan and Chifan, Ionu\c{t} and Mukherjee, Kunal and Smith, Roger and Wiggins, Alan

Journal: Adv. Math.

Volume: 443
Page: Paper No. 109535, 59
DOI: https://doi.org/10.1016/j.aim.2024.109535
Year: 2024
On bounded coordinates in bimodules

Author: De, Debabrata and Mukherjee, Kunal

Journal: Internat. J. Math.

Volume: 35
Page: Paper No. 2350104, 32
DOI: https://doi.org/10.1142/s0129167x23501045
Year: 2024
On the existence of uniformly bounded self-adjoint bases in GNS spaces

Author: De, Debabrata and Mukherjee, Kunal

Journal: Doc. Math.

Volume: 28
Page: 1381--1392
DOI: https://doi.org/10.4171/dm/941
Year: 2023
Mixed \(q\)-deformed Araki-Woods von Neumann algebras

Author: Bikram, Panchugopal and Kumar R, Rahul and Mukherjee, Kunal

Journal: J. Noncommut. Geom.

Volume: 17
Page: 1231--1297
DOI: https://doi.org/10.4171/jncg/513
Year: 2023
On bounded coordinates in GNS spaces

Author: De, Debabrata and Mukherjee, Kunal

Journal: Dissertationes Math.

Volume: 583
Page: 106
DOI: https://doi.org/10.4064/dm853-11-2022
Year: 2023
On the factoriality of \(q\)-deformed Araki-Woods von Neumann algebras

Author: Bikram, Panchugopal and Mukherjee, Kunal and Ricard, \'{E}ric and Wang, Simeng

Journal: Comm. Math. Phys.

Volume: 398
Page: 797--821
DOI: https://doi.org/10.1007/s00220-022-04535-2
Year: 2023
On the commutants of generators of \(q\)-deformed Araki-Woods von Neumann algebras

Author: Bikram, Panchugopal and Mukherjee, Kunal

Journal: Publ. Res. Inst. Math. Sci.

Volume: 58
Page: 451--471
DOI: https://doi.org/10.4171/prims/58-3-1
Year: 2022
A characterization of atomic von Neumann algebras

Author: De, Debabrata and Mukherjee, Kunal

Journal: Proc. Indian Acad. Sci. Math. Sci.

Volume: 132
Page: Paper No. 44, 9
DOI: https://doi.org/10.1007/s12044-022-00684-5
Year: 2022
Noncommutative joinings II

Author: Bannon, Jon and Cameron, Jan and Mukherjee, Kunal

Journal: Groups Geom. Dyn.

Volume: 15
Page: 553--575
DOI: https://doi.org/10.4171/GGD/606
Year: 2021
On the von Neumann algebras associated to Yang-Baxter operators

Author: Bikram, Panchugopal and Kumar, Rahul and Mohanta, Rajeeb and Mukherjee, Kunal and Saha, Diptesh

Journal: Proc. Roy. Soc. Edinburgh Sect. A

Volume: 151
Page: 1331--1354
DOI: https://doi.org/10.1017/prm.2020.62
Year: 2021
On symmetric embedding of type I factors

Author: De, Debabrata and Mukherjee, Kunal

Journal: J. Math. Phys.

Volume: 62
Page: Paper No. 013511, 28
DOI: https://doi.org/10.1063/5.0026933
Year: 2021
On noncommutative joinings III

Author: Bannon, Jon P. and Cameron, Jan and Mukherjee, Kunal

Journal: Oper. Matrices

Volume: 14
Page: 469--490
DOI: https://doi.org/10.7153/oam-2020-14-34
Year: 2020
A note on coarse bimodules

Author: Bannon, Jon and Bikram, Panchugopal and Mukherjee, Kunal

Journal: J. Math. Anal. Appl.

Volume: 475
Page: 1404--1415
DOI: https://doi.org/10.1016/j.jmaa.2019.03.022
Year: 2019
On dynamical systems preserving weights

Author: Koilpitchai, Lavy and Mukherjee, Kunal

Journal: Ergodic Theory Dynam. Systems

Volume: 38
Page: 2729--2747
DOI: https://doi.org/10.1017/etds.2017.15
Year: 2018
Automorphisms of compact quantum groups

Author: Mukherjee, Kunal and Patri, Issan

Journal: Proc. Lond. Math. Soc. (3)

Volume: 116
Page: 330--377
DOI: https://doi.org/10.1112/plms.12074
Year: 2018
On noncommutative joinings

Author: Bannon, Jon P. and Cameron, Jan and Mukherjee, Kunal

Journal: Int. Math. Res. Not. IMRN

Page: 4734--4779
DOI: https://doi.org/10.1093/imrn/rnx024
Year: 2018
On compact bicrossed products

Author: Fima, Pierre and Mukherjee, Kunal and Patri, Issan

Journal: J. Noncommut. Geom.

Volume: 11
Page: 1521--1591
DOI: https://doi.org/10.4171/JNCG/11-4-10
Year: 2017
\(\rm E_0\)-semigroups of free Araki-Woods factors

Author: Bikram, Panchugopal and Mukherjee, Kunal

Journal: Internat. J. Math.

Volume: 28
Page: 1750075, 10
DOI: https://doi.org/10.1142/S0129167X17500756
Year: 2017
Generator masas in \(q\)-deformed Araki-Woods von Neumann algebras and factoriality

Author: Bikram, Panchugopal and Mukherjee, Kunal

Journal: J. Funct. Anal.

Volume: 273
Page: 1443--1478
DOI: https://doi.org/10.1016/j.jfa.2017.03.005
Year: 2017
Mixing and weakly mixing abelian subalgebras of type \(\rm II_1\) factors

Author: Cameron, Jan and Fang, Junsheng and Mukherjee, Kunal

Journal: J. Funct. Anal.

Volume: 272
Page: 2697--2725
DOI: https://doi.org/10.1016/j.jfa.2016.12.006
Year: 2017
KMS quantum symmetric states

Author: Dykema, Ken and Mukherjee, Kunal

Journal: J. Math. Phys.

Volume: 58
Page: 012103, 12
DOI: https://doi.org/10.1063/1.4974361
Year: 2017
The modular symmetry of Markov maps

Author: Bannon, Jon P. and Cameron, Jan and Mukherjee, Kunal

Journal: J. Math. Anal. Appl.

Volume: 439
Page: 701--708
DOI: https://doi.org/10.1016/j.jmaa.2016.03.013
Year: 2016
The simplex of tracial quantum symmetric states

Author: Dabrowski, Yoann and Dykema, Kenneth J. and Mukherjee, Kunal

Journal: Studia Math.

Volume: 225
Page: 203--218
DOI: https://doi.org/10.4064/sm225-3-2
Year: 2014
Weak asymptotic homomorphism property for masas in semifinite factors

Author: Mukherjee, Kunal K.

Journal: Oper. Matrices

Volume: 7
Page: 309--321
DOI: https://doi.org/10.7153/oam-07-18
Year: 2013
Mixing subalgebras of finite von Neumann algebras

Author: Cameron, Jan and Fang, Junsheng and Mukherjee, Kunal

Journal: New York J. Math.

Volume: 19
Page: 343--366
DOI: http://nyjm.albany.edu:8000/j/2013/19_343.html
Year: 2013
Singular masas and measure-multiplicity invariant

Author: Mukherjee, Kunal

Journal: Houston J. Math.

Volume: 39
Page: 561--598
Year: 2013
Measure-multiplicity of the Laplacian masa

Author: Dykema, Ken and Mukherjee, Kunal

Journal: Glasg. Math. J.

Volume: 55
Page: 285--292
DOI: https://doi.org/10.1017/S001708951200050X
Year: 2013
Hilbert von Neumann modules

Author: Bikram, Panchugopal and Mukherjee, Kunal and Srinivasan, R. and Sunder, V. S.

Journal: Commun. Stoch. Anal.

Volume: 6
Page: 49--64
DOI: https://doi.org/10.31390/cosa.6.1.05
Year: 2012
Comparison of one-sided modules

Author: Mukherjee, Kunal

Journal: Banach J. Math. Anal.

Volume: 6
Page: 132--138
DOI: https://doi.org/10.15352/bjma/1337014671
Year: 2012
Masas and bimodule decompositions of \(\rm II_1\) factors

Author: Mukherjee, Kunal

Journal: Q. J. Math.

Volume: 62
Page: 451--486
DOI: https://doi.org/10.1093/qmath/hap038
Year: 2011

Mathematics is the language of ultimate precision. It is uncompromising in its demand for clarity, logical rigor, and truth. Every symbol carries weight. Every step has meaning. Nothing is ornamental, and nothing can be “implied” if it hasn’t been made explicit.

🧭 In science, we seek models.
🧪 In physics, we seek approximations.
📐 But in mathematics, we seek the exact, the universal, the unchangeable.

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Kunal Krishna Mukherjee

Professor

Announcements

Kunal Krishna Mukherjee

Professor

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