Results 61 to 70 of about 197 (138)
Compositional Sequence Generation in the Entorhinal-Hippocampal System. [PDF]
McNamee DC +3 more
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From Topology to Noncommutative Geometry: $K$-theory
We associate to each unital $C^*$-algebra $A$ a geometric object---a diagram of topological spaces representing quotient spaces of the noncommutative space underlying $A$---meant to serve the role of a generalized Gel'fand spectrum. After showing that any functor $F$ from compact Hausdorff spaces to a suitable target category can be applied directly to
openaire +3 more sources
Missing the point in noncommutative geometry. [PDF]
Huggett N, Lizzi F, Menon T.
europepmc +1 more source
Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]
Vernooij M, Wirth M.
europepmc +1 more source
Designing temporal networks that synchronize under resource constraints. [PDF]
Zhang Y, Strogatz SH.
europepmc +1 more source
We present some ideas for a possible Noncommutative Topological Quantum Field Theory (NCTQFT) and Noncommutative Floer Homology (NCFH). Our motivation is two-fold and it comes both from physics and mathematics: On the one hand we argue that NCTQFT is the correct mathematical framework for a quantum field theory of all known interactions in nature ...
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Complete Gradient Estimates of Quantum Markov Semigroups. [PDF]
Wirth M, Zhang H.
europepmc +1 more source
Noncommutative topological $\mathbb{Z}_2$ invariant
We generalize the $\mathbb{Z}_2$ invariant of topological insulators using noncommutative differential geometry in two different ways. First, we model Majorana zero modes by KQ-cycles in the framework of analytic K-homology, and we define the noncommutative $\mathbb{Z}_2$ invariant as a topological index in noncommutative topology.
Kaufmann, Ralph M. +2 more
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Noncommutative Topological Entropy of Endomorphisms of Cuntz Algebras II
A study of noncommutative topological entropy of gauge invariant endomorphisms of Cuntz algebras began in our earlier work with J.\,Zacharias is continued and extended to endomorphisms which are not necessarily of permutation type. In particular it is shown that if \mathsf{H}
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Reduction of Feynman integrals in the parametric representation II: reduction of tensor integrals. [PDF]
Chen W.
europepmc +1 more source

