Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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

2011/01/B/ST1/06474

Keywords:

Hopf-cyclic homology noncommutative geometry K-theory K-homology C*-algebras spectral triples actions of locally compact quantum groups

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_6: Topology
  • ST1_5: Geometry

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 PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Piotr 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 (Y-m-d): 2011-12-21

Project end date (Y-m-d): 2014-12-20

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

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

Information in the final report

  • Publication in academic press/journals (16)
  1. Heat trace and spectral action on the standard Podleś sphere
    Authors:
    M. Eckstein, B. Iochum, A. Sitarz
    Academic press:
    Communications in Mathematical Physics (rok: 2014, tom: 332, strony: 627-668), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-014-2054-5 - link to the publication
  2. Noncommutative Borsuk-Ulam-type conjectures
    Authors:
    Paul F. Baum, Ludwik Dąbrowski and Piotr M. Hajac
    Academic press:
    Banach Center Publications (), Wydawca: Institute of Mathematics, Polish Academy of Sciences
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. On spectral triples on crossed products arising from equicontinuous actions
    Authors:
    Hawkins, A.; Skalski, A.; White, S.; Zacharias, J.
    Academic press:
    Math. Scand. (rok: 2013, tom: 113, strony: 262-291), Wydawca: MATEMATISK INST
    Status:
    Published
    DOI:
    brak - link to the publication
  4. Characteristic classes of foliations via SAYD-twisted cocycles
    Authors:
    Bahram Rangipour, Serkan Sütlü
    Academic press:
    Journal of Noncommutative Geometry (rok: 2015, tom: 9, strony: 965-998), Wydawca: European Mathematical Society Publishing House
    Status:
    Published
    DOI:
    10.4171/JNCG/213 - link to the publication
  5. Dirac operators on noncommutative principal circle bundles
    Authors:
    Ludwik Dabrowski, Andrzej Sitarz, Alessandro Zucca
    Academic press:
    International Journal of Geometric Methods in Modern Physics (rok: 2014, tom: 11, strony: 29), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219887814500121 - link to the publication
  6. Braided join comodule algebras of Galois objects
    Authors:
    Ludwik Dąbrowski, Tom Hadfield, Piotr M. Hajac and Elmar Wagner
    Academic press:
    New York Journal of Mathematics (), Wydawca: ELECTRONIC JOURNALS PROJECT
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. Closed quantum subgroups of locally compact quantum groups
    Authors:
    Matthew Daws, Paweł Kasprzak, Adam Skalski, Piotr M. Sołtan
    Academic press:
    Advances in Mathematics (rok: 2012, tom: 231, strony: 3473-3501), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2012.09.002 - link to the publication
  8. Generalized coefficients for Hopf cyclic cohomology
    Authors:
    M. Hassanzadeh, D. Kucerovsky, B. Rangipour
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (rok: 2014, tom: 10, strony: 16), Wydawca: Refereed electronic journal ISSN 1815-0659
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.093 - link to the publication
  9. Real spectral triples over noncommutative Bieberbach manifolds
    Authors:
    Piotr Olczykowski, Andrzej Sitarz
    Academic press:
    Journal of Geometry and Physics (rok: 2013, tom: 73, strony: 91-103), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2013.05.003 - link to the publication
  10. 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 (rok: 2015, tom: 0,75625, strony: 19), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11040-015-9179-4 - link to the publication
  11. Cyclic homology and quantum orbits
    Authors:
    Tomasz Maszczyk and Serkan Sütlü
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (rok: 2015, tom: 11, strony: 27), Wydawca: Refereed electronic journal ISSN 1815-0659
    Status:
    Published
    DOI:
    10.3842/SIGMA.2015.041 - link to the publication
  12. Nontrivial deformation of a trivial bundle
    Authors:
    Piotr M. Hajac, Bartosz Zieliński
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (rok: 2014, tom: 10, strony: 7), Wydawca: Refereed electronic journal ISSN 1815-0659
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.031 - link to the publication
  13. Wodzicki residue and minimal operators on a noncommutative 4-dimensional torus
    Authors:
    Andrzej Sitarz
    Academic press:
    Journal of Pseudo-Differential Operators and Applications (rok: 2013, tom: 5, strony: 305-317), Wydawca: Birkhäuser
    Status:
    Published
    DOI:
    10.1007/s11868-014-0097-1 - link to the publication
  14. 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) (rok: 2015, tom: 11, strony: 7), Wydawca: Refereed electronic journal ISSN 1815-0659
    Status:
    Published
    DOI:
    10.3842/SIGMA.2015.082 - link to the publication
  15. 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) (rok: 2014, tom: 10, strony: 7), Wydawca: Refereed electronic journal ISSN 1815-0659
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.060 - link to the publication
  16. Free actions of compact quantum groups on unital C*-algebras
    Authors:
    Paul F. Baum, Kenny De Commer and Piotr M. Hajac
    Academic press:
    Documenta Math. (), Wydawca: Deutsche Mathematiker-Vereinigung (DMV)
    Status:
    Submitted
    DOI:
    brak - link to the publication

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