Results 11 to 20 of about 19,522 (183)
Algebraic Noncommutative Geometry
, 1999 Latex 29 pages, no figures, submitted to Comm.
Jonathan Gratus
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Automorphisms of associative algebras and noncommutative geometry [PDF]
Journal of Physics A: Mathematical and General, 2004 A class of differential calculi is explored which is determined by a set of automorphisms of the underlying associative algebra. Several examples are presented. In particular, differential calculi on the quantum plane, the $h$-deformed plane and the quantum group GLpq(2) are recovered in this way. Geometric structures like metrics and compatible linear
Aristophanes Dimakis +1 more
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Braided algebras and their applications to Noncommutative Geometry
Advances in Applied Mathematics, 2013 LaTeX file, 24 ...
Dimitri Gurevich, Pavel Saponov
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Noncommutative Algebra and Noncommutative Geometry
, 2014 Divided into three parts, the first marks out enormous geometric issues with the notion of quasi-freenss of an algebra and seeks to replace this notion of formal smoothness with an approximation by means of a minimal unital commutative algebra's smoothness. The second part of this text is then, devoted to the approximating of properties of nc.
Anastasis Kratsios
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Aspects of noncommutative geometry of Bunce–Deddens algebras
Journal of Noncommutative Geometry, 2023 We define and study smooth subalgebras of Bunce–Deddens C^∗ -algebras. We discuss various aspects of noncommutative geometry of Bunce–Deddens algebras including derivations on smooth subalgebras, as well as K -theory and
Sławomir Klimek +2 more
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Some Equivariant Constructions in Noncommutative Algebraic Geometry [PDF]
gmj, 2009 Abstract We here present rudiments of an approach to geometric actions in noncommutative algebraic geometry, based on geometrically admissible actions of monoidal categories. This generalizes the usual (co)module algebras over Hopf algebras which provide affine examples.
Zoran Škoda
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The noncommutative geometry of k-graph C*-algebras [PDF]
Journal of K-Theory, 2007 AbstractThis paper is comprised of two related parts. First we discuss which k-graph algebras have faithful traces. We characterise the existence of a faithful semifinite lower-semicontinuous gauge-invariant trace on C* (Λ) in terms of the existence of a faithful graph trace on Λ.Second, for k-graphs with faithful gauge invariant trace, we construct a ...
David Pask, Adam Rennie, Aidan Sims
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Noncommutative differential geometry on crossed product algebras
Journal of Algebra, 2023 We provide a differential structure on arbitrary cleft extensions $B:=A^{\mathrm{co}H}\subseteq A$ for an $H$-comodule algebra $A$. This is achieved by constructing a covariant calculus on the corresponding crossed product algebra $B\#_σH$ from the data of a bicovariant calculus on the structure Hopf algebra $H$ and a calculus on the base algebra $B ...
Andrea Sciandra, Thomas Weber
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Noncommutative Geometry and Quiver algebras
Advances in Mathematics, 2005 We develop a new framework for noncommutative differential geometry based on double derivations. This leads to the notion of moment map and of Hamiltonian reduction in noncommutative symplectic geometry. For any smooth associative algebra B, we define its noncommutative cotangent bundle T^*B, which is a basic example of noncommutative symplectic ...
William Crawley-Boevey +2 more
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Deformations of algebras in noncommutative geometry
, 2012 A few minor corrections after publication (e.g., continuity of star products)
Travis Schedler
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