4 citations · 5 across the 9 of their papers we have counts for
10 papers
C-algebras of Fell bundles over étale groupoids
Rohit Dilip Holkar, Md Amir Hossain
We describe a construction for the full C-algebra of a possibly unsaturated Fell bundle over a possibly non-Hausdorff locally compact étale groupoid without appealing to Renaul…
KMS states on the -algebras of Fell bundles over {é}tale groupoids
Rohit Dilip Holkar, Md Amir Hossain
Let be a saturated Fell bundle over a locally compact, Hausdorff, second countable, {é}tale groupoid~, and let denote i…
Topological fundamental groupoid. III. Haar systems on the fundamental groupoid
Rohit Dilip Holkar, Md Amir Hossain
Let be a path connected, locally path connected and semilocally simply connected space; let be its universal cover. We discuss the existence and description of a Ha…
Topological Fundamental Groupoid. II. An action category of the fundamental groupoid
Rohit Dilip Holkar, Md Amir Hossain, Dheeraj Kulkarni
For a path connected, locally path connected and semilocally simply connected space , let denote its topologised fundamental groupoid as established in the first articl…
Topological fundamental groupoid. I
Rohit Dilip Holkar, Md Amir Hossain
We show that the fundamental groupoid~\(Π_1(X)\) of a locally path connected semilocally simply connected space~\(X\) can be equipped with a \emph{natural} topology so that it beco…
The bicategory of topological correspondences
Rohit Dilip Holkar
It is known that a topological correspondence \((X,λ)\) from a locally compact groupoid with a Haar system \((G,α)\) to another one, \((H,β)\), produces a \(\textrm{C}^*\)-correspo…
Locally free actions of groupoids and proper topological correspondences
Rohit Dilip Holkar
Let and be locally compact Hausdorff groupoids with Haar systems, and let be a topological correspondence from to which induce the -c…
Composition of topological correspondences
Rohit Dilip Holkar
In the previous article, we proved that a topological correspondence from a locally compact groupoid with a Haar system to another one, , produces a -co…
Topological construction of -correspondences for groupoid -algebras
Rohit Dilip Holkar
Let and be locally compact groupoids with Haar systems. We define a topological correspondence from to to be a --bispace on which acts…
Hypergroupoids and C*-algebras
Rohit Dilip Holkar, Jean Renault
Let be a locally compact groupoid. If is a free and proper -space, then is a groupoid equivalent to . We consider the situation where is proper but no l…