Publications
- Ph.D. Thesis: Standard dilations of
tuples and representations of certain C* algebras (Compressed Version) (2004).
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Standard noncommuting and
commuting dilations of commuting tuples - (with B. V. Rajarama Bhat, T.
Bhattacharyya), Trans. American Math. Soc. 356 (2004), 1551-1568.
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Minimal Cuntz-Krieger dilations
and representations of Cuntz-Krieger algebras - (with B. V. Rajarama Bhat, J.
Zacharias), Proc. Indian Acad. of Sci. 116 (2006), 193-220.
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Standard dilations of q-commuting
tuples Colloquium Math. 107 (2007), 141-165.
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Characteristic functions for
ergodic tuples - (with R. Gohm), Integral Equations Operator Theory 58 (2007), 43-63.
- Liftings of covariant representations of W*-correspondences Infin. Dimens. Anal. Quantum Probab. Relat. Top. 13 (2010), 511-523. pdf
-
Characteristic functions of liftings - (with
R. Gohm), Journal of Operator Theory 65 (2011), 17-45.
- Standard commuting dilations and liftings Colloquium Math. 126 (2012), 87-94. pdf
- Invariants for liftings of row contractions- (with K. J. Haria), Jour. of Analysis 20 (2012), 79-89.
- Generalized repeated interaction model and transfer functions - (with K. J. Haria), Oper. Theory Adv. Apl., Vol 240 (2014), 111-135.
arxiv
- Functional model and minimal contractive lifting -
(with R. Gohm and K. J. Haria), Complex Analysis and Operator Theory 9 (2015), 933-955.
- ${\mathcal K}$-families and CPD-H-extendable families - (with H. Trivedi),
Rocky Mountain J. Math. 47 (2017), 789-816. arxiv
- KSGNS construction for $\tau$-maps on S-modules and $\mathfrak{K}$-families - (with H. Trivedi),
Operators and Matrices 11 (2017), 679-696.
arxiv
- Characteristic functions of liftings -II - (with R. Gohm and K. J. Haria)- Operators and Matrices, 12 (2018), 579-601.
- Bures distance and transition probability for $\alpha$-CPD-kernels (with H. Trivedi)- Complex Anal. Oper. Theory 13 (2019), 2171-2190.
- Comparing geometric discord and negativity for bipartite states - (with P. Bag and H. Osaka)- Phys. Lett. A 383, no. 33 (2019), 125973.
- The order-$n$ minors of certain $(n+k) \times n$ matrices - (with P. Bag, M. Nagisa and H. Osaka),
Linear Algebra Appl. 603 (2020), 368-389.
- Rokhlin property for group actions on Hilbert $C^*$-modules - (with H. Osaka and H. Trivedi), Southeast Asian Bull. Math. 46 (2022), 151-171.
- $t$-Frobenius negacyclic codes (with P. Bag), J. Ramanujan Math. Soc. 37 (2022), 49-61.
- Factorizations of Characteristic functions of iterated liftings (with N. Bala, M. N. Reshmi), Complex Anal. Oper. Theory 17 (2023).
- Characteristic functions and colligations (with N. Bala, M. N. Reshmi), preprint.