Research
I work in operator algebras. My topics of interest are C*-dynamical systems, locally compact groupoids and bivariant K-theory.
This page contains (i) list of my publications and preprints along with links to arXiv articles, (ii) mathematical notes I wrote for various purposes, (ii) a link to my popular math or math related publications and preprints.
Publications or accepted articles
Rohit Dilip Holkar,
The bicategory of topological correspondences,
Theory and Applications of Categories, 2022,
Vol. 38, No. 22, pp. 843–897,
link: http://www.tac.mta.ca/tac/volumes/38/22/38-22.pdf
Alcides Buss, Rohit Dilip Holkar and Ralf Meyer,
A universal property for groupoid C*-algebras-I,
(2018), the Proc. London Math. Soc., Article ID: PLMS12131,
doi:10.1112/plms.12131.
arXiv:1612.04963.
Rohit Dilip Holkar,
Composition of topological correspondences,
Journal of Operator Theory,
(2017), 78:1, 89-117;
Link: http://www.mathjournals.org/jot/2017-078-001/2017-078-001-005.html
arXiv:1510.08581.
Rohit Dilip Holkar,
Topological construction of C*-correspondences for groupoid C*-algebras,
Journal of Operator Theory,
77:1 (2017), 217–241;
Link:https://www.theta.ro/jot/archive/2017-077-001/2017-077-001-013.html,
arXiv: arXiv:1510.07534.Rohit Dilip Holkar and Jean Renault,
Hypergroupoids and C*-algebras,
C.R.A.S. 351 Série I (2013), 911-914;
arXiv preprint: arXiv:1403.3424.
Preprints
Rohit Dilip Holkar & Md Amir Hossain;
C*-algebras of Fell bundles over étale groupoids,
Initial version (2023),
arXiv:2309.14018.Rohit Dilip Holkar & Md Amir Hossain;
KMS states on the C*-algebras of Fell bundles over étale groupoids,
Submitted (2023),
arXiv:2309.10354.Rohit Dilip Holkar & Md Amir Hossain;
Topological fundamental groupoid. III. Haar systems on the fundamental groupoid,
Submitted (2023),
arXiv:2305.06926.
Rohit Dilip Holkar, Md Amir Hossain & Dheeraj Kulkarni;
Topological Fundamental Groupoid.II.,
Submitted (2023),
arXiv:2305.04668.
Rohit Dilip Holkar & Md Amir Hossain;
Topological Fundamental Groupoid.I.,
Submitted (2023),
arXiv:2302.01583.
PhD thesis
Topological construction of C*-correspondences for groupoid C*-algebras,
Link to the thesis: eDiss of University of Göttingen.
Other scientific publications:
Rohit Dilip Holkar,
(Book) A practical guide to LaTeX and Polyglossia for Marathi and other Indian Languages (in Marathi),
Link to CTAN (Comprehensive TeX Archives Network) page of the book- http://ctan.org/pkg/latex-mr.
Mathematical reads
Decemer, 2016, the notes of course (click here) in The Indian Mathematics Consortium's Regional Programme on Real and Functional Analysis, Fergusson College, Pune.
September 2016, An invitation to C*-algebras and groupoids (click here), notes prepared for an expository talk in IISER, Pune; the title of the talk is motivated from the title of W. Arversion's book "An invitation to C*-algebras.
Other publications
Click here to view math related or non-research publications.