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Operator Algebra and Dynamics : Nordforsk Network Closing Conference, Faroe Islands, May 2012

By: Contributor(s): Material type: TextTextLanguage: English Series: Springer Proceedings in Mathematics & Statistics ; 58Publication details: Heidelberg Springer 2013Description: xvi, 332 p. illISBN:
  • 9783642394584 (HB)
Subject(s):
Contents:
1. The Haagerup property for discrete measured groupoids: Claire Anantharaman-Delaroche 2. Do phantom Cuntz-Krieger algebras exist? Sara E. Arklint 3. Projective Dimensions 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 $\alpha$-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. Sorensen 16. The topological dimension of type I C*-algebras: Hannes Thiel
Summary: 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.
Item type: BOOKS List(s) this item appears in: New Arrivals (01 August 2025)
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IMSc Library 512.7(082)"2013" (Browse shelf(Opens below)) Available 78766

1. The Haagerup property for discrete measured groupoids: Claire Anantharaman-Delaroche
2. Do phantom Cuntz-Krieger algebras exist? Sara E. Arklint
3. Projective Dimensions 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 $\alpha$-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. Sorensen
16. The topological dimension of type I C*-algebras: Hannes Thiel

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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