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Operator Algebra and Dynamics: Nordforsk Network Closing Conference, Faroe Islands, May 2012: Springer Proceedings in Mathematics & Statistics, cartea 58

Editat de Toke M. Carlsen, Søren Eilers, Gunnar Restorff, Sergei Silvestrov
en Limba Engleză Hardback – 16 dec 2013
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 researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science.
 
It covers the following topics: von Neumann algebras arising from discrete measured groupoids, purely infinite Cuntz-Krieger algebras, filtered K-theory over finite topological spaces, C*-algebras associated to shift spaces (or subshifts), graph C*-algebras, irrational extended rotation algebras that are shown to be C*-alloys, free probability, renewal systems, the Grothendieck Theorem for jointly completely bounded bilinear forms on C*-algebras, Cuntz-Li algebras associated with the a-adic numbers, crossed products of injective endomorphisms (the so-called Stacey crossed products), the interplay between dynamical systems, operator algebras and wavelets on fractals, C*-completions of the Hecke algebra of a Hecke pair, semiprojective C*-algebras, and the topological dimension of type I C*-algebras.
 
Operator Algebra and Dynamics will serve as a useful resource for a  broad spectrum of researchers and  students in mathematics, physics, and engineering.
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Specificații

ISBN-13: 9783642394584
ISBN-10: 3642394582
Pagini: 348
Ilustrații: XVI, 332 p. 12 illus., 4 illus. in color.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.67 kg
Ediția:2013
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Proceedings in Mathematics & Statistics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1 The Haagerup property for discrete measured groupoids: Claire Anantharaman-Delaroche.- 2 Do phantom Cuntz-Krieger algebras exist? Sara E. Arklint.- 3 Projective dimension in filtrated K-theory: Rasmus Bentmann.- 4 An introduction to the C_-algebra of a one-sided shift space: Toke Meier Carlsen.- 5 Classification of graph C_-algebras with no more than four primitive ideals: Søren Eilers, Gunnar Restorff, and Efren Ruiz.- 6 Remarks on the Pimsner-Voiculescu embedding: George A. Elliott and Zhuang Niu.- 7 Graph C_-algebras with a T1 primitive ideal space: James Gabe.- 8 The law of large numbers for the free multiplicative convolution: Uffe Haagerup and Sören Möller.- 9 Is every irreducible shift of finite type flow equivalent to a renewal system? Rune Johansen.- 10 On the Grothendieck Theorem for jointly completely bounded bilinear forms: Tim de Laat.- 11 C_-algebras associated with a-adic numbers:Tron Omland.- 12 The structure of Stacey crossed products by endomorphisms: Eduard Ortega and Enrique Pardo.- 13 Quasi-symmetric group algebras and C_-completions of Hecke algebras: Rui Palma.- 14 Dynamics, wavelets, commutants and transfer operators satisfying crossed product type commutation relations: Sergei Silvestrov.- 15 On a counterexample to a conjecture by Blackadar: Adam P. W. Sørensen.- 16 The topological dimension of type I C_-algebras: Hannes Thiel.- Index.

Textul de pe ultima copertă

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 researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science.
 
It covers the following topics: von Neumann algebras arising from discrete measured groupoids, purely infinite Cuntz-Krieger algebras, filtered K-theory over finite topological spaces, C*-algebras associated to shift spaces (or subshifts), graph C*-algebras, irrational extended rotation algebras that are shown to be C*-alloys, free probability, renewal systems, the Grothendieck Theorem for jointly completely bounded bilinear forms on C*-algebras, Cuntz-Li algebras associated with the a-adic numbers, crossed products of injective endomorphisms (the so-called Stacey crossed products), the interplay between dynamical systems, operator algebras and wavelets on fractals, C*-completions of the Hecke algebra of a Hecke pair, semiprojective C*-algebras, and the topological dimension of type I C*-algebras.
 
Operator Algebra and Dynamics will serve as a useful resource for a  broad spectrum of researchers and  students in mathematics, physics, and engineering.

Caracteristici

Collection of high quality research contributions and review articles on the directions of the interplay between two central areas of modern mathematics Present conference is in many ways unique in choice of directions and important new lines of interdisciplinary interplay Contributions written by many top internationally well-known experts from Europe and all over the world Includes supplementary material: sn.pub/extras