Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Roy, Indrava"'
Autor:
Benameur, Moulay-Tahar, Roy, Indrava
Publikováno v:
Ann. K-Th. 7 (2022) 237-278
We prove an equivariant localized and norm-controlled version of the Pimsner-Popa-Voiculescu theorem. As an application, we deduce a proof of the Paschke-Higson duality for transformation groupoids.
Comment: 28 pages - Made some corrections in t
Comment: 28 pages - Made some corrections in t
Externí odkaz:
http://arxiv.org/abs/2001.09811
We present the application of topological data analysis (TDA) to study unweighted complex networks via their persistent homology. By endowing appropriate weights that capture the inherent topological characteristics of such a network, we convert an u
Externí odkaz:
http://arxiv.org/abs/1912.11337
We show the existence of Shilnikov-type dynamics and bifurcation behaviour in general discrete three-dimensional piecewise smooth maps and give analytical results for the occurence of such dynamical behaviour. Our main example in fact shows a `two-si
Externí odkaz:
http://arxiv.org/abs/1903.10781
Publikováno v:
Scientific Reports, 9-13817 (2019)
Topological data analysis can reveal higher-order structure beyond pairwise connections between vertices in complex networks. We present a new method based on discrete Morse theory to study topological properties of unweighted and undirected networks
Externí odkaz:
http://arxiv.org/abs/1901.00395
Autor:
Benameur, Moulay-Tahar, Roy, Indrava
Publikováno v:
Journal of Noncommutative Geometry, February 2021 (Online issue)
This is the second part of our series about the Higson-Roe sequence for \'etale groupoids. We devote this part to the proof of the universal $K$-theory surgery exact sequence which extends the seminal results of N. Higson and J. Roe to the case of tr
Externí odkaz:
http://arxiv.org/abs/1812.04371
Autor:
Benameur, Moulay-Tahar, Roy, Indrava
We introduce the dual Roe algebras for proper \'{e}tale groupoid actions and deduce the expected Higson-Roe short exact sequence. When the action is cocompact, we show that the Roe $C^*$-ideal of locally compact operators is Morita equivalent to the
Externí odkaz:
http://arxiv.org/abs/1801.06040
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena November 2020 140
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena April 2020 133
Autor:
Benameur, Moulay-Tahar, Roy, Indrava
The goal of this paper is to solve the problem of existence of an $\ell^2$ relative eta morphism on the Higson-Roe structure group. Using the Cheeger-Gromov $\ell^2$ eta invariant, we construct a group morphism from the Higson-Roe maximal structure g
Externí odkaz:
http://arxiv.org/abs/1409.2717
Autor:
Benameur, Moulay-Tahar, Roy, Indrava
This paper is a first of a series of three papers which study eta invariants for laminations. In this first paper, we extend the results of Higson and Roe to deal with regular (unbounded) operators and more importantly to take into account Morita equ
Externí odkaz:
http://arxiv.org/abs/1109.0263