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Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory
Edited by: Robert S. Doran
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Contemporary Mathematics
1991; 215 pp; softcover
Volume: 120
ISBN-10: 0-8218-5127-6
ISBN-13: 978-0-8218-5127-2
List Price: US$63
Member Price: US$50.40
Order Code: CONM/120
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This book contains papers presented at the NSF/CBMS Regional Conference on Coordinates in Operator Algebras, held at Texas Christian University in Fort Worth in May 1990. During the conference, in addition to a series of ten lectures by Paul S. Muhly (which will be published in a CBMS Regional Conference Series volume), twenty-eight lectures were delivered by conference participants on a broad range of topics of current interest in operator algebras and operator theory. This volume contains slightly expanded versions of most of those lectures. Participants were encouraged to bring open problems to the conference, and, as a result, over one hundred problems and questions are scattered throughout this volume. Readers will appreciate this book for the overview it provides of current topics and methods of operator algebras and operator theory.

Table of Contents

  • L. Baggett and J. Packer -- \(C^*\)-algebras associated to two-step nilpotent groups
  • D. P. Blecher -- Some applications of a recent characterization of operator algebras
  • R. E. Curto -- Problems in multivariable operator theory
  • R. E. Curto and K. Yan -- The Taylor spectrum of infinite direct sums
  • J. Froelich -- Operator algebras and differential topology
  • F. L. Gilfeather and R. R. Smith -- Operator algebras with arbitrary Hochschild cohomology
  • P. E. T. Jorgensen -- Representation of symplectic vector spaces obtained as unitary dilations
  • P. E. T. Jorgensen -- Imprimitivity systems associated to regions in \(\Bbb R^n\), connections between geometry and spectrum, a sample of problems
  • R. V. Kadison -- Triangular algebras--another chapter
  • A. Katavolos -- Decomposability of operators relative to two subspaces
  • E. G. Katsoulis -- The equation \(Tx=y\) in nest algebras
  • D. R. Larson and D. R. Pitts -- Some questions concerning nest algebras
  • D. R. Larson and W. E. Wogen -- Some problems on triangular and semi-triangular operators
  • R. A. Linden and H. Salas -- Two problems on almost diagonalization of normal operators
  • M. McAsey -- Spatial implementation of lattice isomorphisms
  • P. S. Muhly, C. Qiu, and B. Solel -- Intrinsic isomorphism invariants for some triangular operator algebras
  • W. L. Paschke -- Some operator-algebraic aspects of the theory of infinite graphs
  • J. R. Peters -- On analytic subalgebras of UHF algebras
  • N. C. Phillips -- Five problems on operator algebras
  • Y. T. Poon -- Analytic triangular algebras with integer valued cocycle
  • A. Ramsay and M. E. Walter -- Fourier-Stieltjes algebras of locally compact groupoids
  • Z.-J. Ruan -- On the preduals of dual algebras and their tensor products
  • K.-S. Saito -- An introduction to Toeplitz operators associated with analytic crossed products
  • B. Solel -- Distance formula and contractive projections
  • S.-K. Tsui -- Constructions of extreme \(n\)-positive linear maps
  • T. Yamanouchi -- Duality for actions and coactions of measured groupoids on von Neumann algebras
  • G. Yu -- Cyclic cohomology and the index theory of transversely elliptic operators
  • S. Zhang -- Ideals of generalized Calkin algebras
  • S. Zhang -- Problems on \(C^*\)-algebras of real rank zero and their multiplier algebras
  • D. Blecher, K. R. Goodearl, R. V. Kadison, K. Merrill, W. L. Paschke, A. L. T. Paterson, F. W. Shultz, and B. Solel -- A collection of problems on operator algebras; The Texas groupoid in King Robert's Court
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