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Coefficients of cyclic homology and noncommutative geometry of C*-algebras and Dirac operators

2011/01/B/ST1/06474

Keywords

Descriptors

  • ST1_9: Algebry operatorowe i analiza funkcjonalna
  • ST1_6: Topologia
  • ST1_5: Geometria

Panel

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution

Instytut Matematyczny Polskiej Akademii Nauk

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Piotr Mieczysław Hajac

Number of co-investigators in the project: 7

Call

OPUS 1 – announced on 2011-03-15

Amount awarded
429 000 PLN
Project start date
2011-12-21
Project end date
2014-12-20
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. drukarka laserowa. Cost: 1 500 PLN
  2. komputer stacjonarny (2 pcs). Cost: 11 000 PLN
  3. laptop. Cost: 9 199 PLN
  4. monitor 27 cali. Cost: 3 799 PLN

Information in the final report

Publication in academic press/journals (14)

  1. Wodzicki residue and minimal operators on a noncommutative 4-dimensional torus

    Authors:
    Andrzej Sitarz
    Academic press:
    Journal of Pseudo-Differential Operators and Applications (year: 2013, volume: 5, pages: 305-317), Publisher: Birkhäuser
    Status:
    Published
    DOI:
    10.1007/s11868-014-0097-1 – link to the publication

  2. Real spectral triples over noncommutative Bieberbach manifolds

    Authors:
    Piotr Olczykowski, Andrzej Sitarz
    Academic press:
    Journal of Geometry and Physics (year: 2013, volume: 73, pages: 91-103), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2013.05.003 – link to the publication

  3. Heat trace and spectral action on the standard Podleś sphere

    Authors:
    M. Eckstein, B. Iochum, A. Sitarz
    Academic press:
    Communications in Mathematical Physics (year: 2014, volume: 332, pages: 627-668), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-014-2054-5 – link to the publication

  4. Dirac operators on noncommutative principal circle bundles

    Authors:
    Ludwik Dabrowski, Andrzej Sitarz, Alessandro Zucca
    Academic press:
    International Journal of Geometric Methods in Modern Physics (year: 2014, volume: 11, pages: 29), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219887814500121 – link to the publication

  5. Nontrivial deformation of a trivial bundle

    Authors:
    Piotr M. Hajac, Bartosz Zieliński
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (year: 2014, volume: 10, pages: 7), Publisher: Refereed electronic journal ISSN 1815-0659
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.031 – link to the publication

  6. Generalized coefficients for Hopf cyclic cohomology

    Authors:
    M. Hassanzadeh, D. Kucerovsky, B. Rangipour
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (year: 2014, volume: 10, pages: 16), Publisher: Refereed electronic journal ISSN 1815-0659
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.093 – link to the publication

  7. The geometry of quantum lens spaces: real spectral triples and bundle structure

    Authors:
    Andrzej Sitarz and Jan Jitse Venselaar
    Academic press:
    Mathematical Physics, Analysis and Geometry (year: 2015, volume: 0,75625, pages: 19), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11040-015-9179-4 – link to the publication

  8. Local Proof of Algebraic Characterization of Free Actions

    Authors:
    Paul F. Baum and Piotr M. Hajac
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (year: 2014, volume: 10, pages: 7), Publisher: Refereed electronic journal ISSN 1815-0659
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.060 – link to the publication

  9. Cyclic homology and quantum orbits

    Authors:
    Tomasz Maszczyk and Serkan Sütlü
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (year: 2015, volume: 11, pages: 27), Publisher: Refereed electronic journal ISSN 1815-0659
    Status:
    Published
    DOI:
    10.3842/SIGMA.2015.041 – link to the publication

  10. On spectral triples on crossed products arising from equicontinuous actions

    Authors:
    Hawkins, A.; Skalski, A.; White, S.; Zacharias, J.
    Academic press:
    Math. Scand. (year: 2013, volume: 113, pages: 262-291), Publisher: MATEMATISK INST
    Status:
    Published

  11. Equivariant Join and Fusion of Noncommutative Algebras

    Authors:
    Ludwik Dąbrowski, Tom Hadfield and Piotr M. Hajac
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (year: 2015, volume: 11, pages: 7), Publisher: Refereed electronic journal ISSN 1815-0659
    Status:
    Published
    DOI:
    10.3842/SIGMA.2015.082 – link to the publication

  12. Closed quantum subgroups of locally compact quantum groups

    Authors:
    Matthew Daws, Paweł Kasprzak, Adam Skalski, Piotr M. Sołtan
    Academic press:
    Advances in Mathematics (year: 2012, volume: 231, pages: 3473-3501), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2012.09.002 – link to the publication

  13. Characteristic classes of foliations via SAYD-twisted cocycles

    Authors:
    Bahram Rangipour, Serkan Sütlü
    Academic press:
    Journal of Noncommutative Geometry (year: 2015, volume: 9, pages: 965-998), Publisher: European Mathematical Society Publishing House
    Status:
    Published
    DOI:
    10.4171/JNCG/213 – link to the publication

  14. Noncommutative Borsuk-Ulam-type conjectures

    Authors:
    Paul F. Baum, Ludwik Dąbrowski and Piotr M. Hajac
    Status:
    Accepted for publication

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