Operator Algebras, Mathematical Physics, and Low Dimensional Topology

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Overview

This volume records the proceedings of an international conference that explored recent developments and the interaction between mathematical theory and physical phenomena.

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Editorial Reviews

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Proceedings of a workshop held in Istanbul, Turkey, in July 1991. Paper topics include non-commutative spheres and numerical quantum mechanics, matricial and ultramatricial topology, the crossed product of the irrational rotation algebra by the flip, regular actions of Hopf algebras on the C*-algebra generated by Hilbert space, two quantized tensor products, geometry of differential equations and projective representations of the Witt algebra, and spin models on the knot projections. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Preface
Non-commutative spheres and numerical quantum mechanics 1
Matricial and Ultramatricial Topology 11
Remarks on the Three -Manifold Invariants [theta [subscript p]] 39
The Crossed Product of The Irrational Rotation Algebra by The Flip 61
Quadratic and Exchange Algebras, and Modified Yang-Baxter Relations for the Selfdual Yang-Mills System and the WZNW Model 77
Regular Actions of Hopf Algebras on the C*-Algebra Generated by a Hilbert Space 87
Operator Algebras, Group Actions and Abstract Duals 101
A Classification of Certain Simple C*-Algebra 109
On Two Quantized Tensor Products 125
Geometry of Differential Equations and Projective Representations of the Witt Algebra 147
Spin Models on the Knot Projections 195
Towards Extracting Physical Predictions From Alain Connes' Version of the Standard Model The New Grand Unification? 201
A Commutator Inequality 233
Duals of Compact Groups Realized by Semigroups of Non-Unital Endomorphisms of C*-Algebras 237
A New Index for Continuous Semigroups of *-Endomorphisms of BH 249
Topological Order Equivalence 263
Toeplitz C*-Algebras On Pseudoconvex Domains With Transverse Symmetries 271
Normal Subgroups of the Automorphism Group of A Factor 287
Subfactors and Invariants of 3-Manifolds 301
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