Publications

Accepted or Published

1. Conlon, A., Crann, J., Kribs, D. W., Levene, R. H., Quantum teleportation in the commuting operator framework. Ann. Henri Poincaré, to appear. arXiv

2. Crann, J., Kribs, D. W., Pereira, R., Orthogonal unitary bases and a subfactor conjecture. Proc. Amer. Math. Soc., to appear. arXiv

3. Crann, J., Neufang, M., A non-commutative Fejér theorem for crossed products, the approximation property and applications. Int. Math. Res. Not. (2022), no. 5, pp. 3571-3601. arXiv

4. Bearden, A. Crann, J., Amenable dynamical systems over locally compact groups. Ergodic Theory & Dynam. Systems 42 (2022), no. 8, 2468-2508. arXiv

5. Crann, J., Finite presentation, the local lifting property, and local approximation properties of operator modules. J. Funct. Anal. 281 (2021), no. 6, 109070, 54 pp. arXiv

6. Bearden, A. Crann, J., A weak expectation property for operator modules, injectivity and amenable actions. Internat. J. Math. 32 (2021), no. 2, 2150005. arXiv

7. Alaghmandan, M., Crann, J., Neufang, M., Mapping ideals of quantum group multipliers. Adv. Math. 374 (2020), 107353. arXiv

8. Crann, J., Kribs, D. W., Levene, R., Todorov, I., State convertibility in the von Neumann algebra framework. Comm. Math. Phys. 378 (2020), no. 2, 1123-1156. Available online here and arXiv

9. Alaghmandan, M., Crann, J., Neufang, M., A new duality via the Haagerup tensor product. J. Math. Anal. Appl. 472 (2019), no. 1, 176-195. arXiv

10. Crann, J., Inner amenability and approximation properties of locally compact quantum groups. Indiana Univ. Math. J. 68 (2019), no. 6, 1721-1766. arXiv

11. Alaghmandan, M., Crann, J., Fourier algebras of hypergroups and central algebras on compact (quantum) groups. Studia Math. 239 (2017), no. 3, 225–247. arXiv

12. Alaghmandan, M., Crann, J., Character density in central subalgebras of compact quantum groups. Canad. Math. Bull. 60 (2017), no. 3, 449–461. arXiv

13. Crann, J., Tanko, Z., On the operator homology of the Fourier algebra and its cb-multiplier completion. J. Funct. Anal. 273 (2017), no. 7, 2521–2545. arXiv

14. Crann, J., Amenability and covariant injectivity of locally compact quantum groups II. Canad. J. Math. 69 (2017), no. 5, 1064–1086. arXiv

15. Crann, J., On hereditary properties of quantum group amenability. Proc. Amer. Math. Soc. 145 (2017), no. 2, 627–635. arXiv

16. Crann, J., Kribs, D. W., Levene, R., Todorov, I., Private algebras in quantum information and infinite-dimensional complementarity. J. Math. Phys. 57 (2016), 015208, 14 pages. arXiv

17. Crann, J., Neufang, M., Amenability and covariant injectivity of locally compact quantum groups. Trans. Amer. Math. Soc. 368 (2016), 495-513. arXiv

18. Crann, J., Kalantar, M., An uncertainty principle for unimodular quantum groups. J. Math. Phys. 55 (2014), 081704, 13 pages. arXiv

19. Crann, J., Neufang, M., Quantum channels arising from abstract harmonic analysis. J. Phys. A: Math. Theor. 46 (2013), 045308. arXiv

20. Crann, J., Pereira, R., and Kribs, D. W., Spherical designs and anticoherent spin states. J. Phys. A: Math. Theor. 43 (2010), 255307.

Submitted

1. Bény, C., Crann, J., Hee Lee, H., Park, S.-J., Youn, S.-G., Gaussian quantum information over general quantum kinematical systems I: Gaussian states. arXiv

In Preparation

1. Crann, J., Hee Lee, H., Park, S.-J., Youn, S.-G., Gaussian quantum information over general quantum kinematical systems II: Gaussian channels.