Corpus ID: 119586165

W*-algebras and noncommutative integration

@article{Kostecki2013WalgebrasAN,
  title={W*-algebras and noncommutative integration},
  author={Ryszard Pawel Kostecki},
  journal={arXiv: Operator Algebras},
  year={2013}
}
  • Ryszard Pawel Kostecki
  • Published 2013
  • Mathematics
  • arXiv: Operator Algebras
    • This text is a detailed overview of the theories of W*-algebras and noncommutative integration, up to the Falcone-Takesaki theory of noncommutative Lp spaces over arbitrary W*-algebras, and its extension to noncommutative Orlicz spaces. The topics under consideration include the Tomita-Takesaki modular theory, the relative modular theory (featuring bimodules, spatial quotients, and canonical representation), the theory of W*-dynamical systems (featuring derivations, liouvilleans, and crossed… CONTINUE READING
    View PDF on arXiv
    11 Citations
    Highly Influencial Citations
    1
    Background Citations
    4
    Methods Citations
    2
    11 Citations
    Citation Type

    Citation Type

    Noncommutative Orlicz spaces over W*-algebras
    • 4
    • PDF
    Positive contractive projections on noncommutative L p-spaces
    • 3
    Positive contractive projections on noncommutative $\mathrm{L}^p$-spaces
    • PDF
    L1-space for a positive operator affiliated with von Neumann algebra
    • 3
    Quantum Brègman distances and categories
    • PDF
    2-positive contractive projections on noncommutative $\mathrm{L}^p$-spaces
    • 2
    • Highly Influenced
    • PDF
    Contractively decomposable projections on noncommutative $\mathrm{L}^p$-spaces
    • PDF
    Local quantum information dynamics
    • 3
    • PDF
    $$L_1$$L1-space for a positive operator affiliated with von Neumann algebra
    • 9
    • PDF
    Postquantum Br\`{e}gman relative entropies and nonlinear resource theories
    • 1
    • PDF

    References

    SHOWING 1-10 OF 672 REFERENCES
    A reduction method for noncommutative L_p-spaces and applications
    • 63
    • PDF
    Non-commutative Banach Function Spaces
    • 109
    • PDF
    On the Structure of Isometries between Noncommutative L p Spaces
    • 9
    • PDF
    Quantum symmetries on operator algebras
    • 343
    A new approach to the Tomita-Takesaki theory of generalized Hilbert algebras
    • 33
    APPLICATIONS OF THE COMPLEX INTERPOLATION METHOD TO A VON NEUMANN ALGEBRA: NON-COMMUTATIVE LP-SPACES
    • 161
    • Highly Influential
    The Non-commutative Flow of Weights on a Von Neumann Algebra☆☆☆
    • 36
    • Highly Influential
    • PDF
    A crossed product approach to Orlicz spaces
    • 11
    • PDF
    On Isometries of Operator Algebras
    • 100
    CONVERGENCE IN MEASURE AND RELATED RESULTS IN FINITE RINGS OF OPERATORS
    • 14
    • PDF