Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Holkar, Rohit Dilip"'
Autor:
Holkar, Rohit Dilip, Hossain, Md Amir
We describe a construction for the full C$^*$-algebra of a possibly unsaturated Fell bundle over a possibly non-Hausdorff locally compact \'etale groupoid without appealing to Renault's disintegration theorem. This construction generalises the standa
Externí odkaz:
http://arxiv.org/abs/2309.14018
Autor:
Holkar, Rohit Dilip, Hossain, Md Amir
Let $p\colon \mathcal{A} \to G$ be a saturated Fell bundle over a locally compact, Hausdorff, second countable, {\'e}tale groupoid~$G$, and let $\mathrm{C}^*(G;\mathcal{A})$ denote its full $\mathrm{C}^*$-algebra. We prove an integration-disintegrati
Externí odkaz:
http://arxiv.org/abs/2309.10354
Autor:
Holkar, Rohit Dilip, Hossain, Md Amir
Let $X$ be a path connected, locally path connected and semilocally simply connected space; let $\tilde{X}$ be its universal cover. We discuss the existence and description of a Haar system on the fundamental groupoid $\Pi_1(X)$ of $X$. The existence
Externí odkaz:
http://arxiv.org/abs/2305.06926
For a path connected, locally path connected and semilocally simply connected space $X$, let $\Pi_1(X)$ denote its topologised fundamental groupoid as established in the first article of this series. Let $\mathcal{E}$ be the category of $\Pi_1(X)$-sp
Externí odkaz:
http://arxiv.org/abs/2305.04668
Autor:
Holkar, Rohit Dilip, Hossain, Md Amir
We show that the fundamental groupoid~\(\Pi_1(X)\) of a locally path connected semilocally simply connected space~\(X\) can be equipped with a \emph{natural} topology so that it becomes a topological groupoid; we also justify the necessity and minima
Externí odkaz:
http://arxiv.org/abs/2302.01583
Autor:
Holkar, Rohit Dilip
It is known that a topological correspondence \((X,\lambda)\) from a locally compact groupoid with a Haar system \((G,\alpha)\) to another one, \((H,\beta)\), produces a \(\textrm{C}^*\)-correspondence \(\mathcal{H}(X,\lambda)\) from \(\textrm{C}^*(G
Externí odkaz:
http://arxiv.org/abs/2002.05881
Akademický článek
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Autor:
Holkar, Rohit Dilip
Let $(G,\alpha)$ and $(H,\beta)$ be locally compact Hausdorff groupoids with Haar systems, and let $(X,\lambda)$ be a topological correspondence from $(G,\alpha)$ to $(H,\beta)$ which induce the ${C}^*$-correspondence $\mathcal{H}(X)\colon {C}^*(G,\a
Externí odkaz:
http://arxiv.org/abs/1709.08938
Autor:
Holkar, Rohit Dilip
In the previous article, we proved that a topological correspondence $(X,\lambda)$ from a locally compact groupoid with a Haar system $(G,\alpha)$ to another one, $(H,\beta)$, produces a $C^*$-correspondence $\mathcal{H}(X)$ from $C^*(G,\alpha)$ to $
Externí odkaz:
http://arxiv.org/abs/1510.08581