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.
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Lawrence Baggett and Judith Packer, C*-algebras associated to two-step nilpotent groups; David P Bleche, Some applications of a recent characterization of operator algebras; Raul E Curto, Problems in multivariable operator theory; Raul E Curton and Keren Yan, The Taylor spectrum of infinite direct sums; John Froelich, Operator algebras and differential topology; Frank L Gilfeather and Roger R Smith, Operator algebras with arbitrary Hochschild cohomology; Palle E T Jorgensen, Representation of symplectic vector spaces obtained as unitary dilations; Palle E T Jorgensen, Imprimitivity systems associated to regions in Rn, connections between geometry and spectrum, a sample of problems; Richard 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; David R Larson and David R Pitts; Some questions concerning nest algebras; David R Larson and Warren R Wogen, Some problems on triangular and semi-triangular operators; Richard A Linden and Hector Salas, Two problems on almost diagonalization of normal operators; Michael McAsey, Spatial implementation of lattice isomorphisms; Paul S Muhly, Chaoxin Qiu, and Baruch Solel, Intrinsic isomorphism invariants for some triangular operator algebras; William L Paschke, Some operator-algebraic aspects of the theory of infinite graphs; Justin R Peters, On analytic subalgebras of UHF algebras; N C Phillips, Five problems on operator algebras; Yiu Tung Poon, Analytic triangular algebras with interger valued cocycle; Arian Ramsey and Martin E Walter, Fourier-Stieltjes algebras of locally compact groupoids; Zhong-Jin Ruan, On the preduals of dual algebras and their tensor products; Kichi-Suke Salto, An introduction to Toeplitz operators associated with analytic crossed products; Baruch Solel, Distance formula and contractive projections; Sze-Kai Tsui, Constructions of extreme n-positive linear maps; Takehiko Yamanouchi, Duality for actions and coactions of measured groupoids on von Neumann algebras; Guoliang Yu, Cyclic cohomology and the index theory of transversely elliptic operators; Shuang Zhang, Ideals of generalized Calkin algebras; Shuang Zhang, Problems on C*-algebras of real rank zero and their multiplier algebras; David Blecher, Kenneth R Goodearl, Richard V Kadison, kathy Merrill, William L Paschke, Alan L T Paterson, Frederick W Shultz, Baruch Solel, A collection of problems on operator algebras; The Texas groupoid in King Robert's Court.
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