Results 31 to 40 of about 17,456 (150)
The noncommutative topology of one-dimensional spaces [PDF]
Pacific Journal of Mathematics, 1989 If \(X\) and \(Y\) are compact topological spaces, the unital star-homomorphisms from \(C(X)\) to \(C(Y)\) satisfy certain homotopy properties when X is an absolute neighborhood retract. We show that two of these properties still hold when \(C(Y)\) is replaced by a ``noncommutative space'', i.e.
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Noncommutative solenoids and their projective modules
, 2013 Let p be prime. A noncommutative p-solenoid is the C*-algebra of Z[1/p] x Z[1/p] twisted by a multiplier of that group, where Z[1/p] is the additive subgroup of the field Q of rational numbers whose denominators are powers of p.
Latremoliere, Frederic, Packer, Judith
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Topological K-theory of complex noncommutative spaces [PDF]
Compositio Mathematica, 2015 The purpose of this work is to give a definition of a topological K-theory for dg-categories over$\mathbb{C}$and to prove that the Chern character map from algebraic K-theory to periodic cyclic homology descends naturally to this new invariant. This topological Chern map provides a natural candidate for the existence of a rational structure on the ...
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Physical Review ResearchThe nontrivial topology of spin systems such as skyrmions in real space can promote complex electronic states. Here, we provide a general viewpoint at the emergence of topological spectral gaps in spin systems based on the methods of noncommutative K ...
Fabian R. Lux +4 more
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Quantum field theory on projective modules [PDF]
, 2006 We propose a general formulation of perturbative quantum field theory on (finitely generated) projective modules over noncommutative algebras. This is the analogue of scalar field theories with non-trivial topology in the noncommutative realm.
Gayral, V. +3 more
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Connes distance by examples: Homothetic spectral metric spaces
, 2012 We study metric properties stemming from the Connes spectral distance on three types of non compact noncommutative spaces which have received attention recently from various viewpoints in the physics literature.
Cagnache E. +16 more
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Topologically nontrivial field configurations in noncommutative geometry [PDF]
Communications in Mathematical Physics, 1996 27 pages, LaTeX (normalization coefficients in Eqs. (93) corrected)
Grosse, H. +2 more
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Noncommutative AdS black hole and the IR holographic superconductor
European Physical Journal C: Particles and FieldsWe construct a noncommutative (NC) $$\hbox {AdS}_4$$ AdS 4 -charged black hole with a planar horizon topology. The NC effects of this geometry are captured by a Gaussian distribution of black hole mass codified in a fluid-like energy–momentum tensor.
Manuel de la Cruz-López +3 more
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Toeplitz Extensions in Noncommutative Topology and Mathematical Physics
, 2020 AbstractWe review the theory of Toeplitz extensions and their role in operator K-theory, including Kasparov’s bivariant K-theory. We then discuss the recent applications of Toeplitz algebras in the study of solid-state systems, focusing in particular on the bulk-edge correspondence for topological insulators.
Arici, F., Mesland, B.
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$C^*$-algebraic drawings of dendroidal sets
, 2019 In recent years the theory of dendroidal sets has emerged as an important framework for higher algebra. In this article we introduce the concept of a $C^*$-algebraic drawing of a dendroidal set. It depicts a dendroidal set as an object in the category of
Mahanta, Snigdhayan
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