Conlon, A., Crann, J., Kribs, D. W., Levene, R. H., Quantum teleportation in the commuting operator framework. Ann. Henri Poincaré, to appear. arXiv
Crann, J., Kribs, D. W., Pereira, R., Orthogonal unitary bases and a subfactor conjecture. Proc. Amer. Math. Soc., to appear. arXiv
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
Bearden, A. Crann, J., Amenable dynamical systems over locally compact groups. Ergodic Theory & Dynam. Systems 42 (2022), no. 8, 2468-2508. arXiv
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
Bearden, A. Crann, J., A weak expectation property for operator modules, injectivity and amenable actions. Internat. J. Math. 32 (2021), no. 2, 2150005. arXiv
Alaghmandan, M., Crann, J., Neufang, M., Mapping ideals of quantum group multipliers. Adv. Math. 374 (2020), 107353. arXiv
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
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
Crann, J., Inner amenability and approximation properties of locally compact quantum groups. Indiana Univ. Math. J. 68 (2019), no. 6, 1721-1766. arXiv
Alaghmandan, M., Crann, J., Fourier algebras of hypergroups and central algebras on compact (quantum) groups. Studia Math. 239 (2017), no. 3, 225–247. arXiv
Alaghmandan, M., Crann, J., Character density in central subalgebras of compact quantum groups. Canad. Math. Bull. 60 (2017), no. 3, 449–461. arXiv
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
Crann, J., Amenability and covariant injectivity of locally compact quantum groups II. Canad. J. Math. 69 (2017), no. 5, 1064–1086. arXiv
Crann, J., On hereditary properties of quantum group amenability. Proc. Amer. Math. Soc. 145 (2017), no. 2, 627–635. arXiv
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
Crann, J., Neufang, M., Amenability and covariant injectivity of locally compact quantum groups. Trans. Amer. Math. Soc. 368 (2016), 495-513. arXiv
Crann, J., Kalantar, M., An uncertainty principle for unimodular quantum groups. J. Math. Phys. 55 (2014), 081704, 13 pages. arXiv
Crann, J., Neufang, M., Quantum channels arising from abstract harmonic analysis. J. Phys. A: Math. Theor. 46 (2013), 045308. arXiv
Crann, J., Pereira, R., and Kribs, D. W., Spherical designs and anticoherent spin states. J. Phys. A: Math. Theor. 43 (2010), 255307.
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
Crann, J., Hee Lee, H., Park, S.-J., Youn, S.-G., Gaussian quantum information over general quantum kinematical systems II: Gaussian channels.