LEADER 04909nam 22006855 450 001 9910254065203321 005 20220412171854.0 010 $a3-319-39286-7 024 7 $a10.1007/978-3-319-39286-8 035 $a(CKB)3710000000765135 035 $a(DE-He213)978-3-319-39286-8 035 $a(MiAaPQ)EBC4618879 035 $a(PPN)194515591 035 $a(EXLCZ)993710000000765135 100 $a20160730d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOperator algebras and applications $ethe Abel Symposium 2015 /$fedited by Toke M. Carlsen, Nadia S. Larsen, Sergey Neshveyev, Christian Skau 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (X, 342 p. 10 illus., 2 illus. in color.) 225 1 $aAbel Symposia,$x2193-2808 ;$v12 311 $a3-319-39284-0 320 $aIncludes bibliographical references at the end of each chapters. 327 $aC*-tensor categories and subfactors for totally disconnected groups: Y. Arano and S. Vaes -- Decomposable approximations revisited: N.P. Brown, J.R. Carrión and S. White -- Exotic crossed products: A. Buss, S. Echterhoff, and R. Willett -- On Hong and Szymanski?s description of the primitive-ideal space of a graph algebra: T. M. Carlsen and A. Sims -- Commutator inequalities via Schur products: E. Christensen -- C*-algebras associated with algebraic actions: J. Cuntz -- A new look at C*-simplicity and the unique trace property of a group: U. Haagerup -- Equilibrium states on graph algebras: A. an Huef and I. Raeburn -- Semigroup C_-algebras: X. Li -- Topological full groups of étale groupoids: H. Matui -- Towards a classification of compact quantum groups of Lie type: S. Neshveyev and M. Yamashita -- A homology theory for Smale spaces: a summary: I.F. Putnam -- On the positive eigenvalues and eigenvectors of a non-negative matrix: K. Thomsen -- Classification of graph algebras: a selective survey: M. Tomforde -- QDQ vs. UCT: W. Winter. 330 $aLike the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject. The field of operator algebras was created in the 1930s and was motivated by problems of quantum mechanics. It has subsequently developed well beyond its initial intended realm of applications and expanded into such diverse areas of mathematics as representation theory, dynamical systems, differential geometry, number theory and quantum algebra. One branch, known as ?noncommutative geometry?, has become a powerful tool for studying phenomena that are beyond the reach of classical analysis. This volume includes research papers that present new results, surveys that discuss the development of a specific line of research, and articles that offer a combination of survey and research. These contributions provide a multifaceted portrait of beautiful mathematics that both newcomers to the field of operator algebras and seasoned researchers alike will appreciate. 410 0$aAbel Symposia,$x2193-2808 ;$v12 606 $aFunctional analysis 606 $aDynamics 606 $aErgodic theory 606 $aK-theory 606 $aMathematical physics 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aK-Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11086 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aFunctional analysis. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aK-theory. 615 0$aMathematical physics. 615 14$aFunctional Analysis. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aK-Theory. 615 24$aMathematical Physics. 676 $a512.55 702 $aCarlsen$b Toke M$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLarsen$b Nadia S$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aNeshveyev$b Sergey$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSkau$b Christian$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254065203321 996 $aOPERATOR algebras and applications$9381430 997 $aUNINA