Results 21 to 30 of about 59 (37)
On the C*-algebra associated with the full adele ring of a number field
, 2022 The multiplicative group of a number field acts by multiplication on the full adele ring of the field. Generalising a theorem of Laca and Raeburn, we explicitly describe the primitive ideal space of the crossed product C*-algebra associated with this ...
Bruce, Chris, Takeishi, Takuya
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Deformations of Gabor frames on the adeles and other locally compact abelian groups
, 2020 We generalize Feichtinger and Kaiblinger's theorem on linear deformations of uniform Gabor frames to the setting of a locally compact abelian group $G$.
Enstad, Ulrik +3 more
core +1 more source
On the metaphysics of $\mathbb F_1$
, 2023 In the present paper, dedicated to Yuri Manin, we investigate the general notion of rings of $\mathbb S[\mu_{n,+}]$-polynomials and relate this concept to the known notion of number systems.
Connes, Alain, Consani, Caterina
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, 2009 We associate reduced and full C*-algebras to arbitrary rings and study the inner structure of these ring C*-algebras. As a result, we obtain conditions for them to be purely infinite and simple. We also discuss several examples.
Li, Xin
core +2 more sources
, 2010 The work of Alain Connes has cut a wide swath across several areas of math- ematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this collection of articles covers a wealth of topics at the ...
Blanchard, Etienne +5 more
core +2 more sources
Counting automorphic forms on norm one tori [PDF]
, 2018 We give an asymptotic formula for the number of automorphic forms on the non-split norm one torus T associated with an imaginary quadratic extension of Q, ordered by analytic ...
Hunter Brooks, E, Petrow, I
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Tate Objects in Exact Categories [PDF]
, 2016 We study elementary Tate objects in an exact category. We characterize the category of elementary Tate objects as the smallest subcategory of admissible Ind-Pro objects which contains the categories of admissible Ind-objects and admissible Pro-objects ...
Braunling, O, Groechenig, M, Wolfson, J
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Arithmetic from an advanced perspective: an introduction to the Adeles [PDF]
, 2010 Here we offer an introduction to the adele ring over the field of rational numbers Q and highlight some of its beautiful algebraic and topological structure.
Burger, Edward B.
core +1 more source
Quantum Statistical Mechanics, L-Series and Anabelian Geometry I: Partition Functions [PDF]
, 2014 The zeta function of a number field can be interpreted as the partition function of an associated quantum statistical mechanical (QSM) system, built from abelian class field theory. We introduce a general notion of isomorphism of QSM-systems and prove
Cornelissen, Gunther, Marcolli, Matilde
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Issues of universal feasibiliy and multplier adjustment in data envelopment analysis (DEA) with an application [PDF]
, 2008 O objectivo desta tese é o estudo dos casos de ausência de soluções admissíveis e desenvolvimento de modelos que contornem esse inconveniente que surge nos modelos de determinação de eficiência.
Santos, Jorge Manuel Azevedo
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