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, Dheeraj Kulkarni & Md Amir Hossain;
  The fundamental groupoid: topology, Haar system and actions,
  Accepted (2024) at Münster Journal of Mathematics,
  Combination of the preprints arXiv:2305.06926, arXiv:2305.04668 and arXiv:2302.01583.
  
  

• Rohit Dilip Holkar & Md Amir Hossain;
  C*-algebras of Fell bundles over étale groupoids,
  Accepted (2024) at Bull. of the Australian Math. Soc.,
  arXiv:2309.14018.
  
  

• Rohit Dilip Holkar & Md Amir Hossain;
  KMS states on the C*-algebras of Fell bundles over étale groupoids,
  Studia Mathematica (2024) 279, 129-177,
  DOI: 10.4064/sm231024-2-8,
  arXiv:2309.10354.
  
  

• 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;
  Topological fundamental groupoid. III. Haar systems on the fundamental groupoid,
  Submitted (2023) as a part of The fundamental groupoid: topology, Haar system and actions,
  arXiv:2305.06926.
  
  

• Rohit Dilip Holkar, Md Amir Hossain & Dheeraj Kulkarni;
  Topological Fundamental Groupoid.II.,
  Submitted (2023) as a part of The fundamental groupoid: topology, Haar system and actions,
  arXiv:2305.04668.
  
  

• Rohit Dilip Holkar & Md Amir Hossain;
  Topological Fundamental Groupoid.I.,
  Submitted (2023) as a part of The fundamental groupoid: topology, Haar system and actions,
  arXiv:2302.01583.

Mathematical reads

1. Decemer, 2016, the notes of  course (click here) in The Indian Mathematics Consortium's Regional Programme on Real and Functional Analysis, Fergusson College, Pune.

2. 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.