Titlebook: Operator Algebra and Dynamics; Nordforsk Network Cl Toke M. Carlsen,Søren Eilers,Sergei Silvestrov Conference proceedings 2013 Springer-Ver

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2194-1009 mathematics.Present conference is in many ways unique in ch.Based on presentations given at the NordForsk Network Closing Conference “Operator Algebra and Dynamics,” held in Gjáargarður, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by resear

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The Topological Dimension of Type I ,,-Algebras,mposition rank and the nuclear dimension.We add another theory to this list by showing that the topological dimension, as introduced by Brown and Pedersen, is a noncommutative dimension theory of type I . .-algebras. We also give estimates of the real and stable rank of a type I . .-algebra in terms of its topological dimension.

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Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Re dynamics or actions by semigroups, ideals in the corresponding crossed product type algebras and commutants of elements and subsets in the algebras and in their representations. Some open directions and open problems on this rich interplay motivated by these constructions and results are also indicated.

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On a Counterexample to a Conjecture by Blackadar,uld imply semiprojectivity of .. But oddly enough, in all the counterexamples of Eilers and Katsura the quotient map from . to . is split. We will show how to modify their examples to find a non-semiprojective . .-algebra . with a semiprojective ideal . such that .∕. is the complex numbers and the quotient map does not split.

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