Influences & Notes

Selected papers

Selflessness, ultrapowers, and existential phenomena

• Narutaka Ozawa, Proximality and selflessness for group C*-algebras

• Leonel Robert, Selfless C*-algebras

• Ben Hayes, Srivatsav Kunnawalkam Elayavalli, and Leonel Robert, Selfless reduced free product C*-algebras

• Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell, and Leonel Robert, Selfless inclusions of C*-algebras

• Tattwamasi Amrutam, David Gao, Srivatsav Kunnawalkam Elayavalli, and Gregory Patchell, Strict comparison in reduced group C*-algebras

• Cyril Houdayer and Amine Marrakchi, Selfless W*-probability spaces and Connes’ bicentralizer problem

• Isaac Goldbring and Cyril Houdayer, Existentially closed W*-probability spaces

• David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell and Lizzy Teryoshin, Selfless reduced amalgamated free products and HNN extensions

• Itamar Vigdorovich, Selfless reduced C*-algebras of linear groups

Boundary actions, C*-simplicity, and Powers-type phenomena

• Robert T. Powers, Simplicity of the C*-algebra associated with the free group on two generators

• Pierre de la Harpe, On simplicity of reduced C*-algebras of groups

• Mehrdad Kalantar and Matthew Kennedy, Boundaries of reduced C*-algebras of discrete groups

• Nazmul Alam, Joseph Gondek, Mehrdad Kalantar and Randy Pham, Growth conditions for freeness of the Furstenberg boundary action

• Emmanuel Breuillard, Mehrdad Kalantar, Matthew Kennedy, and Narutaka Ozawa, C*-simplicity and the unique trace property for discrete groups

• Matthew Kennedy, An intrinsic characterization of C*-simplicity

• Mohammed El Bachir Bekka, Michael Cowling and Pierre de la Harpe, Some groups whose reduced C*-algebra is simple

Free products, graph products, and Toeplitz constructions

• Daniel Avitzour, Free products of C*-algebras

• Kenneth Dykema, Exactness of reduced amalgamated free product C*-algebras

• Florin Boca, Free products of completely positive maps and spectral sets

• John Crisp and Marcelo Laca, On the Toeplitz algebras of right-angled and finite-type Artin groups

• Martijn Caspers and Pierre Fima, Graph products of operator algebras

• Ian Charlesworth, Rolando de Santiago, Ben Hayes, David Jekel, Srivatsav Kunnawalkam Elayavalli, and Brent Nelson, On the structure of graph product von Neumann algebras

• David Gao and Srivatsav Kunnawalkam Elayavalli, Toeplitz exactness for strong convergence

• David Gao, Srivatsav Kunnawalkam Elayavalli, Aareyan Manzoor, and Gregory Patchell, A new source of purely finite matricial fields

Strong convergence and random matrix methods

• Uffe Haagerup and Steen Thorbjørnsen, A new application of random matrices: Ext(C*_r(F_2)) is not a group 

• Benoît Collins and Camille Male, The strong asymptotic freeness of Haar and deterministic matrices

• Camille Male, The norm of polynomials in large random and deterministic matrices

• Charles Bordenave and Benoît Collins, Norm of matrix-valued polynomials in random unitaries and permutations

• Chi-Fang Chen, Jorge Garza-Vargas, Joel A. Tropp, and Ramon van Handel, A new approach to strong convergence

• Chi-Fang Chen, Jorge Garza-Vargas, and Ramon van Handel, A new approach to strong convergence II: The classical ensembles

• Michael Magee, Doron Puder and Ramon van Handel, Strong convergence of uniformly random permutation representations of surface groups

• David Jekel, Yoonkyeong Lee, Brent Nelson, and Jennifer Pi, Strong convergence to operator-valued semicirculars

• Dimitri Shlyakhtenko, A-valued semicircular systems

• Michael Magee and Joe Thomas, Strongly convergent unitary representations of right-angled Artin groups

• David Gao and Srivatsav Kunnawalkam Elayavalli, Toeplitz exactness for strong convergence

• Ian Charlesworth and Benoît Collins, Matrix models for ε-free independence

Rapid decay, exotic completions, and approximation properties

• Pierre Jolissaint, Rapidly decreasing functions in reduced C*-algebras of groups

• Uffe Haagerup, An example of a nonnuclear C*-algebra, which has the metric approximation property

• Man-Duen Choi, The full C*-algebra of the free group on two generators

• Indira Chatterji, Introduction to the Rapid Decay property

• Indira Chatterji and Kim Ruane, Some geometric groups with rapid decay 

• Srivatsav Kunnawalkam Elayavalli, Gregory Patchell and Lizzy Teryoshin, Some remarks on decay in countable groups and amalgamated free products

Free probability and (L2)-Betti phenomena

• Nathanial P. Brown, Kenneth J. Dykema, and Kenley Jung, Free entropy dimension in amalgamated free products

• Dan-Virgil Voiculescu, Limit laws for random matrices and free products

• Dan-Virgil Voiculescu, Symmetries of some reduced free product C*-algebras

• Jesse Peterson and Andreas Thom, Group cocycles and the ring of affiliated operators

• Denis Oisin, L2-Betti numbers and non-unitarizable groups without free subgroups