참고문헌
- G. C. Bell, Growth of the asymptotic dimension function for groups, (2005) Preprint
- I. Cho, Graph von Neumann algebras, ACTA. Appl. Math. 95 (2007), 95-134 https://doi.org/10.1007/s10440-006-9081-y
- I. Cho, Characterization of amalgamated free blocks of a graph von Neumann algebra, Compl. Anal. Oper. Theo. 1 (2007), 367-398 https://doi.org/10.1007/s11785-007-0017-y
-
I. Cho, Direct producted
$W^\ast$ -probability spaces and corresponding amalgamated free stochastic integration, Bull. Korean Math. Soc. 44 (2007), no. 1, 131-150 https://doi.org/10.4134/BKMS.2007.44.1.131 - R. Gliman, V. Shpilrain, and A. G. Myasnikov, Computational and Statistical Group Theory, Contemporary Mathematics, 298. American Mathematical Society, Providence, RI, 2002
- V. Jones, Subfactors and Knots, CBMS Regional Conference Series in Mathematics, 80. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1991
- M. T. Jury and D. W. Kribs, Ideal structure in free semigroupoid algebras from directed graphs, J. Operator Theory 53 (2005), no. 2, 273-302
- D. W. Kribs and S. C. Power, Free semigroupoid algebras, J. Ramanujan Math. Soc. 19 (2004), no. 2, 117-159
- A. G. Myasnikov and V. Shpilrain, Group Theory, Statistics, and Cryptography, Contemporary Mathematics, 360. American Mathematical Society, Providence, RI, 2004
- A. Nica, R-transform in free probability, IHP course note, available at www.math. uwaterloo.ca/-anica
- A. Nica, D. Shlyakhtenko, and R. Speicher, R-cyclic families of matrices in free probability, J. Funct. Anal. 188 (2002), no. 1, 227-271 https://doi.org/10.1006/jfan.2001.3814
- A. Nica and R. Speicher, R-diagonal pair-a common approach to Haar unitaries and circular elements), www.mast.queensu.ca/-speicher
- F. Radulescu, Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index, Invent. Math. 115 (1994), no. 2, 347-389 https://doi.org/10.1007/BF01231764
- D. Shlyakhtenko, Some applications of freeness with amalgamation, J. Reine Angew. Math. 500 (1998), 191-212
- D. Shlyakhtenko, A-valued semicircular systems, J. Funct. Anal. 166 (1999), no. 1, 1-47 https://doi.org/10.1006/jfan.1999.3424
- P. Sniady and R. Speicher, Continuous family of invariant subspaces for R-diagonal operators, Invent. Math. 146 (2001), no. 2, 329-363 https://doi.org/10.1007/s002220100166
- B. Solel, You can see the arrows in a quiver operator algebra, J. Aust. Math. Soc. 77 (2004), no. 1, 111-122 https://doi.org/10.1017/S1446788700010181
- R. Speicher, Combinatorial theory of the free product with amalgamation and operatorvalued free probability theory, Mem. Amer. Math. Soc. 132 (1998), no. 627, x+88 pp
- R. Speicher, Combinatorics of free probability theory ihp course note, available at www.mast. queensu.ca/-speicher
- J. Stallings, Centerless groups-an algebraic formulation of Gottlieb's theorem, Topology 4 (1965), 129-134 https://doi.org/10.1016/0040-9383(65)90060-1
- D. Voiculescu, Operations on certain non-commutative operator-valued random variables, Asterisque No. 232 (1995), 243-275
- D. Voiculescu, K. Dykemma, and A. Nica, Free Random Variables, A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups. CRM Monograph Series, 1. American Mathematical Society, Providence, RI, 1992
피인용 문헌
- Applications of automata and graphs: Labeling operators in Hilbert space. II. vol.50, pp.6, 2009, https://doi.org/10.1063/1.3141524
- Histories Distorted by Partial Isometries vol.3, 2011, https://doi.org/10.4303/jpm/P110301
- Applications of Automata and Graphs: Labeling-Operators in Hilbert Space I vol.107, pp.1-3, 2009, https://doi.org/10.1007/s10440-008-9380-6
- CLASSIFICATION ON ARITHMETIC FUNCTIONS AND CORRESPONDING FREE-MOMENT L-FUNCTIONS vol.52, pp.3, 2015, https://doi.org/10.4134/BKMS.2015.52.3.717
- ℂ-VALUED FREE PROBABILITY ON A GRAPH VON NEUMANN ALGEBRA vol.47, pp.3, 2010, https://doi.org/10.4134/JKMS.2010.47.3.601