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## Dykema, Kenneth J.

Compute Distance To:
 Author ID: dykema.kenneth-j Published as: Dykema, K.; Dykema, K. J.; Dykema, Ken; Dykema, Kenneth; Dykema, Kenneth J.
 Documents Indexed: 107 Publications since 1992, including 2 Books
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#### Co-Authors

 24 single-authored 8 Zanin, Dmitriy V. 7 Collins, Benoît 7 Rørdam, Mikael 7 Sukochev, Fedor Anatol’evich 6 Skripka, Anna 5 Haagerup, Uffe Valentin 4 Smith, Roger R. 3 Bercovici, Hari 3 Brown, Nathanial P. 3 Juschenko, Kate 3 Li, Wing Suet 3 Mukherjee, Kunal K. 3 Rădulescu, Florin 3 Shlyakhtenko, Dimitri L. 2 Boedihardjo, March T. 2 Fang, Junsheng 2 Jung, Kenley 2 Kalton, Nigel John 2 Klep, Igor 2 Köstler, Claus 2 Nica, Alexandru 2 Noles, Joseph 2 Paulsen, Vern Ival 2 Sinclair, Allan M. 2 Torres-Ayala, Francisco 2 Weiss, Gary 2 Wodzicki, Mariusz 1 Abadie, Beatriz 1 Ara, Pere 1 Armstrong, Scott N. 1 Blanchard, Etienne F. 1 Bozejko, Marek 1 Burgdorf, Sabine 1 Charlesworth, Ian 1 Choda, Marie 1 Dabrowski, Yoann 1 de la Harpe, Pierre 1 Exel, Ruy 1 Fidaleo, Francesco 1 Figiel, Tadeusz 1 Freeman, Dan 1 Hadwin, Donald W. 1 Heister, Timo 1 Kerr, David 1 Kornelson, Keri A. 1 Krishnaswamy-Usha, Amudhan 1 Larson, David Royal 1 Lehner, Franz 1 Li, Hanfeng 1 Na, Wonhee 1 Ordower, Marc S. 1 Pichot, Mikaël 1 Prakash, Jitendra 1 Redelmeier, Daniel 1 Schultz, Hanne 1 Schweighofer, Markus 1 Skoufranis, Paul 1 Strawn, Nate 1 Timotin, Dan 1 Tucci, Gabriel H. 1 Viola, Maria Grazia 1 Voiculescu, Dan-Virgil 1 Weber, Eric S. 1 White, Stuart Andrew 1 Williams, John D. 1 Yan, Catherine Huafei
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#### Serials

 10 Journal of Functional Analysis 6 Proceedings of the American Mathematical Society 5 Journal für die Reine und Angewandte Mathematik 4 Houston Journal of Mathematics 4 Advances in Mathematics 4 Transactions of the American Mathematical Society 4 Journal of Operator Theory 3 Communications in Mathematical Physics 3 Canadian Journal of Mathematics 3 Duke Mathematical Journal 3 Illinois Journal of Mathematics 3 Mathematische Annalen 3 Geometric and Functional Analysis. GAFA 2 Journal of Mathematical Physics 2 Studia Mathematica 2 American Journal of Mathematics 2 Indiana University Mathematics Journal 2 Integral Equations and Operator Theory 2 Mathematica Scandinavica 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 The New York Journal of Mathematics 2 Algebra and Discrete Mathematics 2 Operators and Matrices 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica 1 Acta Scientiarum Mathematicarum 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Forum Mathematicum 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 The Australasian Journal of Combinatorics 1 Experimental Mathematics 1 Bulletin des Sciences Mathématiques 1 Documenta Mathematica 1 International Journal of Pure and Applied Mathematics 1 CRM Monograph Series 1 Theta Series in Advanced Mathematics 1 Complex Analysis and Operator Theory 1 Münster Journal of Mathematics
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#### Fields

 83 Functional analysis (46-XX) 25 Operator theory (47-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 Combinatorics (05-XX) 7 Quantum theory (81-XX) 5 Group theory and generalizations (20-XX) 4 Associative rings and algebras (16-XX) 4 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH

92 Publications have been cited 1,139 times in 832 Documents Cited by Year
Free random variables. A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups. Zbl 0795.46049
Voiculescu, Dan V.; Dykema, K. J.; Nica, A.
1992
Free products of hyperfinite von Neumann algebras and free dimension. Zbl 0784.46044
Dykema, Ken
1993
Commutator structure of operator ideals. Zbl 1103.47054
Dykema, Ken; Figiel, Tadeusz; Weiss, Gary; Wodzicki, Mariusz
2004
Interpolated free group factors. Zbl 0791.46038
Dykema, Ken
1994
Ellipsoidal tight frames and projection decompositions of operators. Zbl 1064.42020
Dykema, Ken; Freeman, Dan; Kornelson, Keri; Larson, David; Ordower, Marc; Weber, Eric
2004
On certain free product factors via an extended matrix model. Zbl 0768.46039
Dykema, Ken
1993
DT-operators and decomposability of Voiculescu’s circular operator. Zbl 1054.47026
Dykema, Ken; Haagerup, Uffe
2004
Free entropy dimension in amalgamated free products. Zbl 1158.46045
Brown, Nathanial P.; Dykema, Kenneth J.; Jung, Kenley
2008
Embeddings of reduced free products of operator algebras. Zbl 1054.46512
Blanchard, Etienne F.; Dykema, Kenneth J.
2001
Exactness of Cuntz-Pimsner $$C^*$$-algebras. Zbl 0985.46034
Dykema, Kenneth J.; Shlyakhtenko, Dimitri
2001
The stable rank of some free product $$C^*$$-algebras. Zbl 0905.46036
Dykema, Ken; Haagerup, Uffe; Rørdam, Mikael
1997
Multilinear function series and transforms in free probability theory. Zbl 1111.46045
Dykema, Kenneth J.
2007
Invariant subspaces of the quasinilpotent DT-operator. Zbl 1087.47006
Dykema, Ken; Haagerup, Uffe
2004
Projections in free product $$C^*$$-algebras. Zbl 0907.46045
Dykema, K. J.; Rørdam, M.
1998
Factoriality and Connes’ invariant $$T$$ for free products of von Neumann algebras. Zbl 0791.46037
Dykema, Kenneth J.
1994
Sofic dimension for discrete measured groupoids. Zbl 1352.20039
Dykema, Ken; Kerr, David; Pichot, Mikaël
2014
Brown measure and iterates of the Aluthge transform for some operators arising from measurable actions. Zbl 1181.47006
Dykema, Ken; Schultz, Hanne
2009
Manifold structure of spaces of spherical tight frames. Zbl 1134.42019
Dykema, Ken; Strawn, Nate
2006
Exactness of reduced amalgamated free product $$C^*$$-algebras. Zbl 1050.46040
Dykema, Kenneth J.
2004
Matrices of unitary moments. Zbl 1241.46034
Dykema, Ken; Juschenko, Kate
2011
Free products of finite dimensional and other von Neumann algebras with respect to non-tracial states. Zbl 0871.46030
Dykema, Kenneth J.
1997
On embeddings of full amalgamated free product C$$^*$$-algebras. Zbl 1045.46035
Armstrong, Scott; Dykema, Ken; Exel, Ruy; Li, Hanfeng
2004
Faithfulness of free product states. Zbl 0927.46034
Dykema, Kenneth J.
1998
Purely infinite, simple $$C^*$$-algebras arising from free product constructions. Zbl 0919.46040
Dykema, Kenneth J.; Rørdam, Mikael
1998
Synchronous correlation matrices and Connes’ embedding conjecture. Zbl 1330.81027
Dykema, Kenneth J.; Paulsen, Vern
2016
Topological entropy of free product automorphisms. Zbl 1021.46050
Brown, N. P.; Dykema, K.; Shlyakhtenko, D.
2002
Non-closure of the set of quantum correlations via graphs. Zbl 1408.81008
Dykema, Ken; Paulsen, Vern I.; Prakash, Jitendra
2019
Higher order spectral shift. Zbl 1170.47007
Dykema, Ken; Skripka, Anna
2009
A linearization of Connes’ embedding problem. Zbl 1162.46032
Collins, Benoît; Dykema, Ken
2008
On the S-transform over a Banach algebra. Zbl 1100.46037
Dykema, Kenneth J.
2006
Sums of commutators in ideals and modules of type II factors. Zbl 1090.46046
Dykema, Kenneth J.; Kalton, Nigel J.
2005
Simplicity and the stable rank of some free product $$C^*$$-algebras. Zbl 0908.46037
Dykema, Kenneth J.
1999
Spectral characterization of sums of commutators. II. Zbl 0919.47023
Dykema, K. J.; Kalton, N. J.
1998
A decomposition theorem in $$\mathrm{II}_{1}$$-factors. Zbl 1343.46056
Dykema, Kenneth; Sukochev, Fedor; Zanin, Dmitriy
2015
The carpenter and Schur-Horn problems for masas in finite factors. Zbl 1292.46040
Dykema, Kenneth J.; Fang, Junsheng; Hadwin, Donald W.; Smith, Roger R.
2012
Values of the Pukánszky invariant in free group factors and the hyperfinite factor. Zbl 1113.46062
Dykema, Kenneth J.; Sinclair, Allan M.; Smith, Roger R.
2006
Some groups whose reduced $$C^*$$-algebras have stable rank one. Zbl 0929.22008
Dykema, Kenneth J.; de la Harpe, Pierre
1999
On the Fock representation of the $$q$$-commutation relations. Zbl 0767.46038
Dykema, Ken; Nica, Alexandru
1993
Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor. Zbl 1196.46048
Bercovici, H.; Collins, B.; Dykema, K.; Li, W. S.; Timotin, D.
2010
Unique ergodicity of free shifts and some other automorphisms of $$C^*$$-algebras. Zbl 1199.46146
2009
Hyperinvariant subspaces for some $$B$$-circular operators. Zbl 1083.47010
Dykema, K.
2005
Topological entropy of some automorphisms of reduced amalgamated free product $$C^*$$-algebras. Zbl 1020.46016
Dykema, Kenneth J.
2001
Two applications of free entropy. Zbl 0927.46035
Dykema, Kenneth J.
1997
On reduction theory and Brown measure for closed unbounded operators. Zbl 1358.47026
Dykema, K.; Noles, J.; Sukochev, F.; Zanin, D.
2016
On single commutators in II$$_{1}$$-factors. Zbl 1273.47063
Dykema, Ken; Skripka, Anna
2012
Free products of sofic groups with amalgamation over monotileably amenable groups. Zbl 1242.43003
Collins, Benoit; Dykema, Kenneth J.
2011
Compressions of free products of von Neumann algebras. Zbl 0970.46044
Dykema, Kenneth J.; Rădulescu, Florin
2000
Amalgamated free products of multi-matrix algebras and a construction of subfactors of a free group factor. Zbl 0854.46051
Dykema, Kenneth J.
1995
An upper triangular decomposition theorem for some unbounded operators affiliated to $$\mathrm{II}_{1}$$-factors. Zbl 06821077
Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy
2017
Perturbation formulas for traces on normed ideals. Zbl 1287.47056
Dykema, Ken; Skripka, Anna
2014
A description of amalgamated free products of finite von Neumann algebras over finite-dimensional subalgebras. Zbl 1217.46040
Dykema, Ken
2011
On a reduction procedure for Horn inequalities in finite von Neumann algebras. Zbl 1181.46045
Collins, Benoît; Dykema, Ken
2009
Popa algebras in free group factors. Zbl 1068.46030
Brown, Nathalial; Dykema, Kenneth J.
2004
Invariant subspaces of Voiculescu’s circular operator. Zbl 1023.47005
Dykema, K.; Haagerup, U.
2001
Quantum symmetric states on free product $$C^\ast$$-algebras. Zbl 1368.46057
Dykema, Kenneth J.; Köstler, Claus; Williams, John D.
2017
Algebras of log-integrable functions and operators. Zbl 1373.46059
Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy
2016
Instances of the Kaplansky-Lvov multilinear conjecture for polynomials of degree three. Zbl 1361.16012
Dykema, Kenneth J.; Klep, Igor
2016
Finitely presented groups related to Kaplansky’s direct finiteness conjecture. Zbl 1403.20004
Dykema, Ken; Heister, Timo; Juschenko, Kate
2015
Correction to: “The stable rank of some free product $$C^*$$-algebras”. Zbl 0943.46034
Dykema, Ken; Haagerup, Uffe; Rørdam, Mikael
1998
Crossed product decompositions of a purely infinite von Neumann algebra with faithful, almost periodic weight. Zbl 0841.46048
Dykema, Kenneth
1995
Hölder’s inequality for roots of symmetric operator spaces. Zbl 1359.46051
Dykema, Ken; Skripka, Anna
2015
The simplex of tracial quantum symmetric states. Zbl 1325.46065
Dabrowski, Yoann; Dykema, Kenneth J.; Mukherjee, Kunal
2014
Tail algebras of quantum exchangeable random variables. Zbl 1311.46059
Dykema, Kenneth J.; Köstler, Claus
2014
Measure-multiplicity of the Laplacian masa. Zbl 1275.46044
Dykema, Ken; Mukherjee, Kunal
2013
The completely bounded approximation property for extended Cuntz–Pimsner algebras. Zbl 1116.46045
Dykema, Kenneth J.; Smith, Roger R.
2005
Purely infinite, simple $$C^*$$-algebras arising from free product constructions. II. Zbl 1030.46073
Dykema, Kenneth J.
2002
Free subproducts and free scaled products of II$$_{1}$$-factors. Zbl 1011.46054
Dykema, Ken
2002
Purely infinite, simple $$C^*$$-algebras arising from free product constructions. III. Zbl 0977.46037
Choda, Marie; Dykema, Kenneth J.
2000
Projections in free product $$C^*$$-algebras. II. Zbl 1014.46037
Dykema, Kenneth J.; Rørdam, Mikael
2000
Numerical ranges in II$$_1$$ factors. Zbl 1414.46041
Dykema, Ken; Skoufranis, Paul
2017
Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras. Zbl 1353.47076
Dykema, K.; Sukochev, F.; Zanin, D.
2015
The amalgamated free product of hyperfinite von Neumann algebras over finite dimensional subalgebras. Zbl 1290.46051
Dykema, Kenneth J.; Redelmeier, Daniel
2013
Sum-of-squares results for polynomials related to the Bessis-Moussa-Villani conjecture. Zbl 1197.81145
Collins, Benoît; Dykema, Kenneth J.; Torres-Ayala, Francisco
2010
Generators of $$\mathrm{II}_1$$ factors. Zbl 1168.46035
Dykema, Ken; Sinclair, Allan; Smith, Roger; White, Stuart
2008
Isomorphisms of Cayley graphs of surface groups. Zbl 1123.05047
Boźejko, Marek; Dykema, Ken; Lehner, Franz
2006
Free products of exact groups. Zbl 0966.46034
Dykema, Kenneth J.
2000
On algebra-valued $$R$$-diagonal elements. Zbl 1402.46044
Boedihardjo, March; Dykema, Ken
2018
Nilpotent elements of operator ideals as single commutators. Zbl 06862241
Dykema, Ken; Krishnaswamy-Usha, Amudhan
2018
Asymptotic $$\ast$$-moments of some random Vandermonde matrices. Zbl 1372.15028
Boedihardjo, March; Dykema, Ken
2017
Determinants associated to traces on operator bimodules. Zbl 1389.46080
Dykema, K.; Sukochev, F.; Zanin, D.
2017
KMS quantum symmetric states. Zbl 1355.81102
Dykema, Ken; Mukherjee, Kunal
2017
Generating functions for purely crossing partitions. Zbl 1375.05012
Dykema, Kenneth J.
2016
Principal functions for bi-free central limit distributions. Zbl 1360.46057
Dykema, Kenneth J.; Na, Wonhee
2016
On stable finiteness of group rings. Zbl 1333.16027
Dykema, Ken; Juschenko, Kate
2015
Addendum to: “Connes’ embedding conjecture and sums of Hermitian squares”. Zbl 1284.46043
Burgdorf, Sabine; Dykema, Ken; Klep, Igor; Schweighofer, Markus
2014
The Horn inequalities for submodules. Zbl 1299.13023
Bercovici, H.; Dykema, K.; Li, W. S.
2013
Correction of proofs in “Purely infinite simple $$C^\ast$$-algebras arising from free product constructions” and a subsequent paper. Zbl 1275.46040
Ara, Pere; Dykema, Kenneth J.; Rørdam, Mikael
2013
A nonconvex asymptotic quantum Horn body. Zbl 1257.15013
Collins, Benoît; Dykema, Kenneth J.
2011
Unique mixing of the shift on the $$C^*$$ algebras generated by the $$q$$-canonical commutation relations. Zbl 1214.46045
Dykema, Kenneth; Fidaleo, Francesco
2010
Generating functions for moments of the quasi-nilpotent DT-operator. Zbl 1027.46082
Dykema, Ken; Yan, Catherine
2003
Rescalings of free products of II$$_1$$-factors. Zbl 1027.46072
2003
Unitarily invariant trace extensions beyond the trace class. Zbl 0948.47023
Dykema, K.; Weiss, G.; Wodzicki, M.
2000
Non-closure of the set of quantum correlations via graphs. Zbl 1408.81008
Dykema, Ken; Paulsen, Vern I.; Prakash, Jitendra
2019
On algebra-valued $$R$$-diagonal elements. Zbl 1402.46044
Boedihardjo, March; Dykema, Ken
2018
Nilpotent elements of operator ideals as single commutators. Zbl 06862241
Dykema, Ken; Krishnaswamy-Usha, Amudhan
2018
An upper triangular decomposition theorem for some unbounded operators affiliated to $$\mathrm{II}_{1}$$-factors. Zbl 06821077
Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy
2017
Quantum symmetric states on free product $$C^\ast$$-algebras. Zbl 1368.46057
Dykema, Kenneth J.; Köstler, Claus; Williams, John D.
2017
Numerical ranges in II$$_1$$ factors. Zbl 1414.46041
Dykema, Ken; Skoufranis, Paul
2017
Asymptotic $$\ast$$-moments of some random Vandermonde matrices. Zbl 1372.15028
Boedihardjo, March; Dykema, Ken
2017
Determinants associated to traces on operator bimodules. Zbl 1389.46080
Dykema, K.; Sukochev, F.; Zanin, D.
2017
KMS quantum symmetric states. Zbl 1355.81102
Dykema, Ken; Mukherjee, Kunal
2017
Synchronous correlation matrices and Connes’ embedding conjecture. Zbl 1330.81027
Dykema, Kenneth J.; Paulsen, Vern
2016
On reduction theory and Brown measure for closed unbounded operators. Zbl 1358.47026
Dykema, K.; Noles, J.; Sukochev, F.; Zanin, D.
2016
Algebras of log-integrable functions and operators. Zbl 1373.46059
Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy
2016
Instances of the Kaplansky-Lvov multilinear conjecture for polynomials of degree three. Zbl 1361.16012
Dykema, Kenneth J.; Klep, Igor
2016
Generating functions for purely crossing partitions. Zbl 1375.05012
Dykema, Kenneth J.
2016
Principal functions for bi-free central limit distributions. Zbl 1360.46057
Dykema, Kenneth J.; Na, Wonhee
2016
A decomposition theorem in $$\mathrm{II}_{1}$$-factors. Zbl 1343.46056
Dykema, Kenneth; Sukochev, Fedor; Zanin, Dmitriy
2015
Finitely presented groups related to Kaplansky’s direct finiteness conjecture. Zbl 1403.20004
Dykema, Ken; Heister, Timo; Juschenko, Kate
2015
Hölder’s inequality for roots of symmetric operator spaces. Zbl 1359.46051
Dykema, Ken; Skripka, Anna
2015
Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras. Zbl 1353.47076
Dykema, K.; Sukochev, F.; Zanin, D.
2015
On stable finiteness of group rings. Zbl 1333.16027
Dykema, Ken; Juschenko, Kate
2015
Sofic dimension for discrete measured groupoids. Zbl 1352.20039
Dykema, Ken; Kerr, David; Pichot, Mikaël
2014
Perturbation formulas for traces on normed ideals. Zbl 1287.47056
Dykema, Ken; Skripka, Anna
2014
The simplex of tracial quantum symmetric states. Zbl 1325.46065
Dabrowski, Yoann; Dykema, Kenneth J.; Mukherjee, Kunal
2014
Tail algebras of quantum exchangeable random variables. Zbl 1311.46059
Dykema, Kenneth J.; Köstler, Claus
2014
Addendum to: “Connes’ embedding conjecture and sums of Hermitian squares”. Zbl 1284.46043
Burgdorf, Sabine; Dykema, Ken; Klep, Igor; Schweighofer, Markus
2014
Measure-multiplicity of the Laplacian masa. Zbl 1275.46044
Dykema, Ken; Mukherjee, Kunal
2013
The amalgamated free product of hyperfinite von Neumann algebras over finite dimensional subalgebras. Zbl 1290.46051
Dykema, Kenneth J.; Redelmeier, Daniel
2013
The Horn inequalities for submodules. Zbl 1299.13023
Bercovici, H.; Dykema, K.; Li, W. S.
2013
Correction of proofs in “Purely infinite simple $$C^\ast$$-algebras arising from free product constructions” and a subsequent paper. Zbl 1275.46040
Ara, Pere; Dykema, Kenneth J.; Rørdam, Mikael
2013
The carpenter and Schur-Horn problems for masas in finite factors. Zbl 1292.46040
Dykema, Kenneth J.; Fang, Junsheng; Hadwin, Donald W.; Smith, Roger R.
2012
On single commutators in II$$_{1}$$-factors. Zbl 1273.47063
Dykema, Ken; Skripka, Anna
2012
Matrices of unitary moments. Zbl 1241.46034
Dykema, Ken; Juschenko, Kate
2011
Free products of sofic groups with amalgamation over monotileably amenable groups. Zbl 1242.43003
Collins, Benoit; Dykema, Kenneth J.
2011
A description of amalgamated free products of finite von Neumann algebras over finite-dimensional subalgebras. Zbl 1217.46040
Dykema, Ken
2011
A nonconvex asymptotic quantum Horn body. Zbl 1257.15013
Collins, Benoît; Dykema, Kenneth J.
2011
Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor. Zbl 1196.46048
Bercovici, H.; Collins, B.; Dykema, K.; Li, W. S.; Timotin, D.
2010
Sum-of-squares results for polynomials related to the Bessis-Moussa-Villani conjecture. Zbl 1197.81145
Collins, Benoît; Dykema, Kenneth J.; Torres-Ayala, Francisco
2010
Unique mixing of the shift on the $$C^*$$ algebras generated by the $$q$$-canonical commutation relations. Zbl 1214.46045
Dykema, Kenneth; Fidaleo, Francesco
2010
Brown measure and iterates of the Aluthge transform for some operators arising from measurable actions. Zbl 1181.47006
Dykema, Ken; Schultz, Hanne
2009
Higher order spectral shift. Zbl 1170.47007
Dykema, Ken; Skripka, Anna
2009
Unique ergodicity of free shifts and some other automorphisms of $$C^*$$-algebras. Zbl 1199.46146
2009
On a reduction procedure for Horn inequalities in finite von Neumann algebras. Zbl 1181.46045
Collins, Benoît; Dykema, Ken
2009
Free entropy dimension in amalgamated free products. Zbl 1158.46045
Brown, Nathanial P.; Dykema, Kenneth J.; Jung, Kenley
2008
A linearization of Connes’ embedding problem. Zbl 1162.46032
Collins, Benoît; Dykema, Ken
2008
Generators of $$\mathrm{II}_1$$ factors. Zbl 1168.46035
Dykema, Ken; Sinclair, Allan; Smith, Roger; White, Stuart
2008
Multilinear function series and transforms in free probability theory. Zbl 1111.46045
Dykema, Kenneth J.
2007
Manifold structure of spaces of spherical tight frames. Zbl 1134.42019
Dykema, Ken; Strawn, Nate
2006
On the S-transform over a Banach algebra. Zbl 1100.46037
Dykema, Kenneth J.
2006
Values of the Pukánszky invariant in free group factors and the hyperfinite factor. Zbl 1113.46062
Dykema, Kenneth J.; Sinclair, Allan M.; Smith, Roger R.
2006
Isomorphisms of Cayley graphs of surface groups. Zbl 1123.05047
Boźejko, Marek; Dykema, Ken; Lehner, Franz
2006
Sums of commutators in ideals and modules of type II factors. Zbl 1090.46046
Dykema, Kenneth J.; Kalton, Nigel J.
2005
Hyperinvariant subspaces for some $$B$$-circular operators. Zbl 1083.47010
Dykema, K.
2005
The completely bounded approximation property for extended Cuntz–Pimsner algebras. Zbl 1116.46045
Dykema, Kenneth J.; Smith, Roger R.
2005
Commutator structure of operator ideals. Zbl 1103.47054
Dykema, Ken; Figiel, Tadeusz; Weiss, Gary; Wodzicki, Mariusz
2004
Ellipsoidal tight frames and projection decompositions of operators. Zbl 1064.42020
Dykema, Ken; Freeman, Dan; Kornelson, Keri; Larson, David; Ordower, Marc; Weber, Eric
2004
DT-operators and decomposability of Voiculescu’s circular operator. Zbl 1054.47026
Dykema, Ken; Haagerup, Uffe
2004
Invariant subspaces of the quasinilpotent DT-operator. Zbl 1087.47006
Dykema, Ken; Haagerup, Uffe
2004
Exactness of reduced amalgamated free product $$C^*$$-algebras. Zbl 1050.46040
Dykema, Kenneth J.
2004
On embeddings of full amalgamated free product C$$^*$$-algebras. Zbl 1045.46035
Armstrong, Scott; Dykema, Ken; Exel, Ruy; Li, Hanfeng
2004
Popa algebras in free group factors. Zbl 1068.46030
Brown, Nathalial; Dykema, Kenneth J.
2004
Generating functions for moments of the quasi-nilpotent DT-operator. Zbl 1027.46082
Dykema, Ken; Yan, Catherine
2003
Rescalings of free products of II$$_1$$-factors. Zbl 1027.46072
2003
Topological entropy of free product automorphisms. Zbl 1021.46050
Brown, N. P.; Dykema, K.; Shlyakhtenko, D.
2002
Purely infinite, simple $$C^*$$-algebras arising from free product constructions. II. Zbl 1030.46073
Dykema, Kenneth J.
2002
Free subproducts and free scaled products of II$$_{1}$$-factors. Zbl 1011.46054
Dykema, Ken
2002
Embeddings of reduced free products of operator algebras. Zbl 1054.46512
Blanchard, Etienne F.; Dykema, Kenneth J.
2001
Exactness of Cuntz-Pimsner $$C^*$$-algebras. Zbl 0985.46034
Dykema, Kenneth J.; Shlyakhtenko, Dimitri
2001
Topological entropy of some automorphisms of reduced amalgamated free product $$C^*$$-algebras. Zbl 1020.46016
Dykema, Kenneth J.
2001
Invariant subspaces of Voiculescu’s circular operator. Zbl 1023.47005
Dykema, K.; Haagerup, U.
2001
Compressions of free products of von Neumann algebras. Zbl 0970.46044
Dykema, Kenneth J.; Rădulescu, Florin
2000
Purely infinite, simple $$C^*$$-algebras arising from free product constructions. III. Zbl 0977.46037
Choda, Marie; Dykema, Kenneth J.
2000
Projections in free product $$C^*$$-algebras. II. Zbl 1014.46037
Dykema, Kenneth J.; Rørdam, Mikael
2000
Free products of exact groups. Zbl 0966.46034
Dykema, Kenneth J.
2000
Unitarily invariant trace extensions beyond the trace class. Zbl 0948.47023
Dykema, K.; Weiss, G.; Wodzicki, M.
2000
Simplicity and the stable rank of some free product $$C^*$$-algebras. Zbl 0908.46037
Dykema, Kenneth J.
1999
Some groups whose reduced $$C^*$$-algebras have stable rank one. Zbl 0929.22008
Dykema, Kenneth J.; de la Harpe, Pierre
1999
Projections in free product $$C^*$$-algebras. Zbl 0907.46045
Dykema, K. J.; Rørdam, M.
1998
Faithfulness of free product states. Zbl 0927.46034
Dykema, Kenneth J.
1998
Purely infinite, simple $$C^*$$-algebras arising from free product constructions. Zbl 0919.46040
Dykema, Kenneth J.; Rørdam, Mikael
1998
Spectral characterization of sums of commutators. II. Zbl 0919.47023
Dykema, K. J.; Kalton, N. J.
1998
Correction to: “The stable rank of some free product $$C^*$$-algebras”. Zbl 0943.46034
Dykema, Ken; Haagerup, Uffe; Rørdam, Mikael
1998
The stable rank of some free product $$C^*$$-algebras. Zbl 0905.46036
Dykema, Ken; Haagerup, Uffe; Rørdam, Mikael
1997
Free products of finite dimensional and other von Neumann algebras with respect to non-tracial states. Zbl 0871.46030
Dykema, Kenneth J.
1997
Two applications of free entropy. Zbl 0927.46035
Dykema, Kenneth J.
1997
Amalgamated free products of multi-matrix algebras and a construction of subfactors of a free group factor. Zbl 0854.46051
Dykema, Kenneth J.
1995
Crossed product decompositions of a purely infinite von Neumann algebra with faithful, almost periodic weight. Zbl 0841.46048
Dykema, Kenneth
1995
Interpolated free group factors. Zbl 0791.46038
Dykema, Ken
1994
Factoriality and Connes’ invariant $$T$$ for free products of von Neumann algebras. Zbl 0791.46037
Dykema, Kenneth J.
1994
Free products of hyperfinite von Neumann algebras and free dimension. Zbl 0784.46044
Dykema, Ken
1993
On certain free product factors via an extended matrix model. Zbl 0768.46039
Dykema, Ken
1993
On the Fock representation of the $$q$$-commutation relations. Zbl 0767.46038
Dykema, Ken; Nica, Alexandru
1993
Free random variables. A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups. Zbl 0795.46049
Voiculescu, Dan V.; Dykema, K. J.; Nica, A.
1992
all top 5

#### Cited by 795 Authors

 42 Dykema, Kenneth J. 28 Sukochev, Fedor Anatol’evich 23 Zanin, Dmitriy V. 21 Speicher, Roland 19 Banica, Teodor 17 Collins, Benoît 16 Houdayer, Cyril 15 Voiculescu, Dan-Virgil 13 Shlyakhtenko, Dimitri L. 13 Ueda, Yoshimichi 11 Haagerup, Uffe Valentin 11 Junge, Marius 11 Nica, Alexandru 10 Anshelevich, Michael 10 Lehner, Franz 10 Nechita, Ion 10 Skripka, Anna 10 Śniady, Piotr 9 Kaftal, Victor G. 9 Popa, Sorin Teodor 8 Belinschi, Serban Teodor 8 Bercovici, Hari 8 Capitaine, Mireille 8 Jørgensen, Palle E. T. 8 Ng, Ping Wong 8 Vaes, Stefaan 7 Cho, Ilwoo 7 Curran, Stephen M. 7 Gao, Mingchu 7 Hadwin, Donald W. 7 Mixon, Dustin G. 7 Paulsen, Vern Ival 7 Pisier, Gilles 7 Zhang, Shuang 6 Bozejko, Marek 6 Hartglass, Michael 6 Hayes, Ben J. 6 Isono, Yusuke 6 Kargin, Vladislav 6 Kemp, Todd A. 6 Köstler, Claus 6 Lenczewski, Romuald 6 Rørdam, Mikael 6 Schnelli, Kevin 6 Skoufranis, Paul 6 Stojanoff, Demetrio 6 Yoon, Jasang 5 Alpay, Daniel Aron 5 Arizmendi, Octavio 5 Benaych-Georges, Florent 5 Ejsmont, Wiktor 5 Fickus, Matthew C. 5 Fidaleo, Francesco 5 Freslon, Amaury 5 Hasebe, Takahiro 5 Ioana, Adrian 5 Kerr, David 5 Massey, Pedro G. 5 Mingo, James A. 5 Mukherjee, Kunal K. 5 Pietsch, Albrecht 5 Popa, Mihai 5 Pysiak, Leszek 5 Ricard, Éric 5 Shen, Junhao 5 Strawn, Nate 4 Brannan, Michael 4 Cébron, Guillaume 4 Curto, Raúl Enrique 4 Dabrowski, Yoann 4 Erdős, László 4 Fang, Junsheng 4 Guionnet, Alice 4 Heller, Michał P. 4 Jiao, Yong 4 Larson, David Royal 4 Li, Wing Suet 4 Lytvynov, Eugene W. 4 Mukhamedov, Farruh Maksutovich 4 Musat, Magdalena 4 Nowak, Maciej A. 4 Ozawa, Narutaka 4 Parcet, Javier 4 Rădulescu, Florin 4 Sasin, Wiesław 4 Skalski, Adam G. 4 Sunder, Viakalathur S. 4 Thom, Andreas Berthold 4 Thorbjørnsen, Steen 4 Wang, Liguang 4 Weiss, Gary 4 Williams, John D. 4 Xu, Quanhua 4 Zeng, Qiang 3 Abdollahi, Alireza 3 Anderson, Greg W. 3 Blitvić, Natasha 3 Brown, Nathanial P. 3 Cahill, Jameson 3 Casazza, Peter George ...and 695 more Authors
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#### Cited in 163 Serials

 133 Journal of Functional Analysis 46 Advances in Mathematics 38 Transactions of the American Mathematical Society 33 Communications in Mathematical Physics 33 Proceedings of the American Mathematical Society 26 Journal of Mathematical Analysis and Applications 24 Probability Theory and Related Fields 20 Journal of Mathematical Physics 20 Linear Algebra and its Applications 16 Journal of Theoretical Probability 15 The Annals of Probability 14 Integral Equations and Operator Theory 12 International Journal of Mathematics 11 Nuclear Physics. B 10 Journal für die Reine und Angewandte Mathematik 10 Advances in Applied Mathematics 9 Inventiones Mathematicae 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 Random Matrices: Theory and Applications 8 Illinois Journal of Mathematics 8 Mathematische Annalen 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Complex Analysis and Operator Theory 6 Israel Journal of Mathematics 6 Journal of Geometry and Physics 6 Duke Mathematical Journal 6 Journal of Combinatorial Theory. Series A 6 Ergodic Theory and Dynamical Systems 6 Science China. Mathematics 5 Discrete Mathematics 5 Studia Mathematica 5 Acta Mathematica 5 Mathematische Zeitschrift 5 Applied and Computational Harmonic Analysis 5 Advances in Computational Mathematics 5 The Journal of Fourier Analysis and Applications 5 Journal of the Institute of Mathematics of Jussieu 5 Journal of Noncommutative Geometry 4 Communications in Algebra 4 Annales de l’Institut Fourier 4 Bulletin of the London Mathematical Society 4 Indiana University Mathematics Journal 4 Expositiones Mathematicae 4 Nuclear Physics, B, Proceedings Supplements 4 Annales Mathématiques Blaise Pascal 4 Acta Mathematica Sinica. English Series 4 Annales Henri Poincaré 3 International Journal of Theoretical Physics 3 Letters in Mathematical Physics 3 Physica A 3 Canadian Journal of Mathematics 3 Glasgow Mathematical Journal 3 Journal of the London Mathematical Society. Second Series 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Geometric and Functional Analysis. GAFA 3 Stochastic Processes and their Applications 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annals of Mathematics. Second Series 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Statistical Physics 2 Reports on Mathematical Physics 2 Russian Mathematical Surveys 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Compositio Mathematica 2 Nagoya Mathematical Journal 2 Pacific Journal of Mathematics 2 Quaestiones Mathematicae 2 Semigroup Forum 2 Tokyo Journal of Mathematics 2 European Journal of Combinatorics 2 Statistics & Probability Letters 2 Probability and Mathematical Statistics 2 Journal of the American Mathematical Society 2 Science in China. Series A 2 Proceedings of the National Academy of Sciences of the United States of America 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Mathematical Programming. Series A. Series B 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Electronic Journal of Probability 2 Abstract and Applied Analysis 2 Journal of High Energy Physics 2 Foundations of Computational Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Groups, Geometry, and Dynamics 2 Operators and Matrices 2 Japanese Journal of Mathematics. 3rd Series 2 Kyoto Journal of Mathematics 2 Annals of Functional Analysis 2 Journal of Spectral Theory 2 Special Matrices 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique ...and 63 more Serials
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#### Cited in 52 Fields

 571 Functional analysis (46-XX) 185 Probability theory and stochastic processes (60-XX) 145 Operator theory (47-XX) 119 Linear and multilinear algebra; matrix theory (15-XX) 92 Quantum theory (81-XX) 62 Group theory and generalizations (20-XX) 56 Combinatorics (05-XX) 44 Dynamical systems and ergodic theory (37-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 31 Topological groups, Lie groups (22-XX) 28 Associative rings and algebras (16-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Abstract harmonic analysis (43-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Information and communication theory, circuits (94-XX) 17 $$K$$-theory (19-XX) 17 Statistics (62-XX) 15 Algebraic geometry (14-XX) 14 Nonassociative rings and algebras (17-XX) 14 Functions of a complex variable (30-XX) 12 Measure and integration (28-XX) 10 Number theory (11-XX) 8 Computer science (68-XX) 7 Integral transforms, operational calculus (44-XX) 6 Special functions (33-XX) 6 Differential geometry (53-XX) 6 Relativity and gravitational theory (83-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Mathematical logic and foundations (03-XX) 5 Partial differential equations (35-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 5 Operations research, mathematical programming (90-XX) 4 Commutative algebra (13-XX) 4 Category theory; homological algebra (18-XX) 4 Ordinary differential equations (34-XX) 4 Algebraic topology (55-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Approximations and expansions (41-XX) 2 Systems theory; control (93-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)