About: Operator algebra is a(n) research topic. Over the lifetime, 5783 publication(s) have been published within this topic receiving 165303 citation(s).
Papers published on a yearly basis
01 Jan 1979
01 Jan 1983
TL;DR: In this article, the authors compare normal states and unitary equivalence of von Neumann algebras, including the trace and the trace trace of the trace of a projection.
Abstract: Comparison theory of projections--exercises and solutions Normal states and unitary equivalence of von Neumann algebras--exercises and solutions The trace--exercises and solutions Algebra and commutant--exercises and solutions Special representations of $C^*$-algebras--exercises and solutions Tensor products--exercises and solutions Approximation by matrix algebras--exercises and solutions Crossed products--exercises and solutions Direct integrals and decomposiitons--exercises and solutions Bibliography Index.
19 Jul 1982-Nuclear Physics
TL;DR: In this paper, some nonperturbative constraints on supersymmetry breaking are derived and it is demonstrated that dynamical supersymmetric breaking does not occur in certain interesting classes of theories.
Abstract: Some non-perturbative constraints on supersymmetry breaking are derived. It is demonstrated that dynamical supersymmetry breaking does not occur in certain interesting classes of theories.
10 Sep 1986
TL;DR: A survey of topological K-theory can be found in this paper, where the authors present a survey of applications to geometry and topology, including the Pimsner-Voiculescu exact sequence and Connes' Thorn isomorphism.
Abstract: I. Introduction To K-Theory.- 1. Survey of topological K-theory.- 2. Overview of operator K-theory.- II. Preliminaries.- 3. Local Banach algebras and inductive limits.- 4. Idempotents and equivalence.- III. K0-Theory and Order.- 5. Basi K0-theory.- 6. Order structure on K0.- 7. Theory of AF algebras.- IV. K1-Theory and Bott Periodicity.- 8. Higher K-groups.- 9. Bott Periodicity.- V. K-Theory of Crossed Products.- 10. The Pimsner-Voiculescu exact sequence and Connes' Thorn isomorphism.- 11. Equivariant K-theory.- VI. More Preliminaries.- 12. Multiplier algebras.- 13. Hilbert modules.- 14. Graded C*-algebras.- VII. Theory of Extensions.- 15. Basic theory of extensions.- 16. Brown-Douglas-Fillmore theory and other applications.- VIII. Kasparov's KK-Theory.- 17. Basic theory.- 18. Intersection product.- 19. Further structure in KK-theory.- 20. Equivariant KK-theory.- IX. Further Topics.- 21. Homology and cohomology theories on C*-algebras.- 22. Axiomatic K-theory.- 23. Universal coefficient theorems and Kunneth theorems.- 24. Survey of applications to geometry and topology.
11 Sep 1990
TL;DR: Theory of C*-Algebras and Hilbert Space Operators Ideals and Positive Functionals Von Neumann Algebra Representations of C *-Algebra Direct Limits and Tensor Products K-Theory as discussed by the authors.
Abstract: Elementary Spectral Theory C*-Algebras and Hilbert Space Operators Ideals and Positive Functionals Von Neumann Algebras Representations of C*-Algebras Direct Limits and Tensor Products K-Theory of C*-Algebras
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