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Groupoids associated to semigroup actions
In this paper, we consider topological semigroup actions on compact topological spaces. Under mild assumptions on the semigroup and the action, we construct a semi-direct product groupoid with a HaarExpand
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Cuntz-Li relations, inverse semigroups and groupoids
In this paper we show that the universal C � -algebra satisfying the Cuntz-Li relations is generated by an inverse semigroup of partial isometries. We apply Exel's theory of tight representations toExpand
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Quantum double suspension and spectral triples
  • Partha Sarathi Chakraborty, S. Sundar
  • Mathematics
  • 1 May 2011
Abstract In this paper we are concerned with the construction of a general principle that will allow us to produce regular spectral triples with finite and simple dimension spectrum. We introduce theExpand
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Injectivity of the CCR functor
Let $P$ be a closed convex cone in $\mathbb{R}^{d}$ which we assume is spanning and pointed i.e. $P-P=\mathbb{R}^{d}$ and $P \cap -P=\{0\}$. For an isometric representation $V$ of $P$, letExpand
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Differentiation of early mild cognitive impairment in brainstem MR images using multifractal detrended moving average singularity spectral features
TLDR
A 3D brainstem structure is segmented and analysed for texture alterations using multifractal features to differentiate EMCI from other Alzheimer’s disease stages. Expand
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E-semigroups over closed convex cones.
We initiate a study of E-semigroups over convex cones. We prove a structure theorem for E-semigroups which leave the algebra of compact operators invariant. Then we study in detail the CCR flows,Expand
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On a construction due to Khoshkam and Skandalis
In this paper, we consider the Wiener Hopf algebra, denoted $\mathcal{W}(A,P,G,\alpha)$, associated to an action of a discrete subsemigroup $P$ of a group $G$ on a $C^{*}$-algebra $A$. We show thatExpand
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A Computation with the Connes–Thom Isomorphism
  • S. Sundar
  • Mathematics
  • Canadian Mathematical Bulletin
  • 2 March 2012
Abstract Let $A\,\in \,{{M}_{n}}\left( \mathbb{R} \right)$ be an invertible matrix. Consider the semi-direct product ${{\mathbb{R}}^{n}}\rtimes \,\mathbb{Z}$ where the action of $\mathbb{Z}$ onExpand
Transverse magnetic field influence on wakefield in plasmas
We present the results of an investigation of the wakefield around a stationary charged grain in an external magnetic field with non-zero transverse component with respect to the ion flow direction.Expand
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C*-algebras associated to topological Ore semigroups
Let $G$ be a locally compact group and $P \subset G$ be a closed Ore semigroup containing the identity element. Let $V: P \to B(\clh)$ be a representation such that for every $a \in P$, $V_{a}$ is anExpand
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