
B.Sc.,(Sichuan Normal University), Ph.D. (Waterloo)
Professor
LT 9116
Ext. 3042

Research Interests:
My main research interests are operator algebras and functional equations.
On operator algebras, I am currently interested in higher rank graph algebras. They are natural operator algebras associated with higher rank graphs, which are higher dimensional analogues of directed graphs. They have been attracting a great deal of attention recently. On one hand, there are some results generalized from graph algebras; on the other hand, they are significantly more complicated than graph algebras, and provide more intriguing operator algebras.
On functional equations, I am interested in studying them by applying harmonic analysis and representation theory. This gives close connections between functional equations and other areas.
Editorial Board: I am an editor for Banach Journal of Mathematical Analysis (2014  )
Recent Publications:
Operator Algebras:

H. Li and D. Yang, SelfSimilar kGraph C*algebras, to appear in International Mathematics Research Notices, 36 pages. DOI: 10.1093/imrn/rnz146.

H. Li and D. Yang, KMS states of selfsimilar k–graph C*algebras. J. Funct. Anal. 276 (2019), 3795–3831.

H. Li and D. Yang, Boundary quotient C*algebras of products of odometers, Canad. J. Math. 71 (2019), 183–212.

D. Yang, Affine actions and the YangBaxter equation, Adv. Oper. Theory 3 (2018), 710–730.

J. Brown, H. Li and D. Yang, Cartan subalgebras of topological graph algebras and kgraph C*algebras. Münster J. Math. 10 (2017), 367–381.

D. Yang, the interplay between kgraphs and the YangBaxter equation, Journal of Algebra 451 (2016), 494525.

D. Yang, Cycline subalgebras of kgraph C*algebras, Proceedings of the American Mathematical Society 144 (2016), 29592969.

D. Yang, Factoriality and type classification of kgraph von Neumann algebras, Proceedings of the Edinburgh Mathematical Society 60 (2017), 499518.

D. Yang, Analytic free semigroup algebras and Hopf algebras, Houston J. Math. 42 (2016), 919943.

D. Yang, Periodic kgraph algebras revisited, J. Aust. Math. Soc. 99 (2015), 267286.

A. Fuller and D. Yang, Nonselfadjoint 2graph algebras, Transactions of the America Mathematical Society 367 (2015), 61996224.

M. Kennedy and D. Yang, A nonselfadjoint Lebesgue decomposition, Analysis & PDE 7(2014), 497512.

M. Kennedy and D. Yang, The Hopf structure of some dual algebras, Integral Equations and Operator Theory 79 (2014), 191217.

D. Yang, Type III Von Neumann algebras associated with 2graph, Bulletin of the London Mathematical Society 44 (2012), 675686.

D. Yang, Endomorphisms and modular theory of 2graph C*algebras, Indiana Univ. Math. J. 59 (2010) 495520.

K. R. Davidson, S. C. Power and D. Yang, Dilation theory for rank 2 graph algebras, J. Operator Theory 63 (2010), 245270.

K. R. Davidson and D. Yang, Representations of higher rank graph algebras, New York J. Math. 15 (2009), 169–198.

K. R. Davidson and D. Yang, Periodicity in rank 2 graph algebras, Canad. J. Math. 61 (2009), 1239–1261.

K. R. Davidson, S. C. Power and D. Yang, Atomic representations of rank 2 graph algebras, J. Funct. Anal. 255 (2008), 819–853.

K. R. Davidson and D. Yang, A note on absolute continuity in free semigroup algebras, Houston J. Math. 34 (2008), 283–288.
Functional Equations:

D. Ilisevi, A. Turnsek and D. Yang, Orthogonally Additive Mappings on Hilbert Modules, Studia Mathematica 221 (2014), 209229.

D. Yang, Functional equations and Fourier analysis, Canadian Mathematical Bulletin 56 (2013), 218224.

J. An and D. Yang, Nonabelian harmonic analysis and functional equations on compact groups, J. Lie Theory 21 (2011), 427456.

D. Yang, The symmetrized sine additional formula, Aequationes Math. 82 (2011), 299318.

J. An and D. Yang, ALeviCivita equation on compact groups and nonabelian Fourier analysis, Integral Equations Operator Theory 66 (2010), 183195.

L. Li, D. Yang and W. Zhang, A note on iterative roots of PM functions, J. Math. Anal. Appl. 341 (2008), 1482–1486.

D. Yang, Factorization of cosine functions on compact connected groups, Math. Z. 254 (2006), 655–674.

D. Yang, Orthogonality spaces and orthogonally additive mappings, Acta. Math. Hungar. 113 (2006), 269280.