David Kerr
Research
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BOOKS
David Kerr and Hanfeng Li. Springer, 2016.
BOOK REVIEWS
Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers
Robert J. Zimmer. Edited by David Fisher. University of Chicago Press, 2020.
Bull. Amer. Math. Soc. 38 (2021), 627-634. [pdf]
PAPERS
The small boundary property in products
(with Hanfeng Li) To appear in Proc. Amer. Math. Soc. [pdf]
Bauer simplices and the small boundary property
(with Grigoris Kopsacheilis and Spyridon Petrakos) J. Funct. Anal. 287 (2024), Paper No. 110619, 21 pp. [pdf]
McDuff factors from amenable actions and dynamical alternating groups
(with Spyridon Petrakos) Groups Geom. Dyn. 19 (2025), 415-429. [pdf]
Entropy, virtual Abelianness, and Shannon orbit equivalence
(with Hanfeng Li) Ergodic Theory Dynam. Systems 44 (2024), 3481-3500. [pdf]
Elementary amenability and almost finiteness
(with Petr Naryshkin) To appear in Compositio Math. [pdf]
Entropy, products, and bounded orbit equivalence
(with Hanfeng Li) Ergodic Theory Dynam. Systems 43 (2023), 904-942. [pdf]
Dynamical alternating groups, stability, property Gamma, and inner amenability
(with Robin Tucker-Drob) Ann. Sci. Éc. Norm. Supér. (4) 56 (2023), 59-90. [pdf]
Entropy, Shannon orbit equivalence, and sparse connectivity
(with Hanfeng Li) Math. Ann. 380 (2021), 1497-1562. [pdf]
C*-algebras: structure and classification
Oberwolfach Snapshots, 2021. [pdf]
Almost finiteness and the small boundary property
(with Gábor Szabó) Comm. Math. Phys. 374 (2020), 1-31. [pdf]
Dimension, comparison, and almost finiteness
J. Eur. Math. Soc. 22 (2020), 3697-3745. [pdf]
Quantum groups, property (T), and weak mixing
(with Michael Brannan) Comm. Math. Phys. 360 (2018), 1043-1059. [pdf]
Følner tilings for actions of amenable groups
(with C. Conley, S. Jackson, A. Marks, B. Seward, and R. Tucker-Drob) Math. Ann. 371 (2018), 663-683. [pdf]
Borel complexity and automorphisms of C*-algebras
(with Martino Lupini and N. Christopher Phillips) J. Funct. Anal. 268 (2015), 3767-3789. [pdf]
Bernoulli actions of sofic groups have completely positive entropy
Israel J. Math. 202 (2014), 461-474. [pdf]
Sofic dimension for discrete measured groupoids
(with Ken Dykema and Mikaël Pichot) Trans. Amer. Math. Soc. 366 (2014), 707-748. [pdf]
Soficity, amenability, and dynamical entropy
(with Hanfeng Li) Amer. J. Math. 135 (2013), 721-761. [pdf]
Combinatorial independence and sofic entropy
(with Hanfeng Li) Comm. Math. Stat. 1 (2013), 213-257. [pdf]
Sofic measure entropy via finite partitions
Groups Geom. Dyn. 7 (2013), 617-632. [pdf]
Residually finite actions and crossed products
(with Piotr Nowak) Ergodic Theory Dynam. Systems 32 (2012), 1585-1614. [pdf]
Entropy and the variational principle for actions of sofic groups
(with Hanfeng Li) Invent. Math. 186 (2011), 501-558. [pdf]
Bernoulli actions and infinite entropy
(with Hanfeng Li) Groups Geom. Dyn. 5 (2011), 663-672. [pdf]
C*-algebras and topological dynamics: finite approximation and paradoxicality
Barcelona lecture notes, 2011. [pdf]
Orbit equivalence and sofic approximation
(with Ken Dykema and Mikaël Pichot) Preprint, 2011. [pdf]
Turbulence, representations, and trace-preserving actions
(with Hanfeng Li and Mikaël Pichot) Proc. London Math. Soc. 100 (2010), 459-484. [pdf]
Subshifts and perforation
(with Julien Giol) J. reine angew. Math. 639 (2010), 107-119. [pdf]
Combinatorial independence in measurable dynamics
(with Hanfeng Li) J. Funct. Anal. 256 (2009), 1341-1386. [pdf]
On Gromov-Hausdorff convergence for operator metric spaces
(with Hanfeng Li) J. Operator Theory 62 (2009), 83-109. [pdf]
Asymptotic Abelianness, weak mixing, and property T
(with Mikaël Pichot) J. reine angew. Math. 623 (2008), 213-235. [pdf]
Independence in topological and C*-dynamics
(with Hanfeng Li) Math. Ann. 338 (2007), 869-926. [pdf]
Generically infinite entropy in a simple AF algebra
Bull. London Math. Soc. 39 (2007), 265-271. [pdf]
Positive Voiculescu-Brown entropy in noncommutative toral automorphisms
(with Hanfeng Li) Ergodic Theory Dynam. Systems 26 (2006), 1855-1866. [pdf]
Dynamical entropy in Banach spaces
(with Hanfeng Li) Invent. Math. 162 (2005), 649-686. [pdf]
A geometric approach to Voiculescu-Brown entropy
Can. Bull. Math. 47 (2004), 553-565.
Entropy and induced dynamics on state spaces
Geom. Funct. Anal. 14 (2004), 575-594. [pdf]
Matricial quantum Gromov-Hausdorff distance
J. Funct. Anal. 205 (2003), 132-167. [pdf]
Dimension and dynamical entropy for metrized C*-algebras
Comm. Math. Phys. 232 (2003), 501-534. [pdf]
Noncommutative pressure and the variational principle in Cuntz-Krieger-type C*-algebras
(with Claudia Pinzari) J. Funct. Anal. 188 (2002), 156-215.
Asymptotic states of magnetic Bianchi VI_0 cosmologies
(with V. G. LeBlanc and J. Wainwright) Class. Quantum Grav. 12 (1995), 513-541.
CONFERENCES COORGANIZED
Group Actions: Dynamics, Measure, Topology
University of Münster, Germany, November 28 – December 2, 2022
Groups and Dynamics: Topology, Measure, and Borel Structure
Oberwolfach, Germany, January 16–22, 2022
Topology and Measure in Dynamics and Operator Algebras
BIRS, September 8-13, 2019
SUMIRFAS
Texas A&M University, July 26-28, 2019
Great Plains Operator Theory Symposium
Texas A&M University, May 28 - June 1, 2019
SUMIRFAS
Texas A&M University, August 17-19, 2018
Operator Algebras, Geometry, and Actions
Banach Center, Warsaw, Sep 29 - Oct 1, 2017
SUMIRFAS
Texas A&M University, July 21-23, 2017
Ergodic Theory and Operator Algebras
Texas A&M University, June 5-9, 2017
SUMIRFAS
Texas A&M University, July 29-31, 2016
Groups, Dynamics, and Operator Algebras
Queen Mary University of London, July 18-22, 2016
SUMIRFAS
Texas A&M University, July 31 - August 2, 2015
Dynamics and C*-Algebras: Amenability and Soficity
BIRS, October 19-24, 2014
SUMIRFAS
Texas A&M University, July 25-27, 2014
Concentration Week on Groups, Groupoids, and Dynamics
Texas A&M University, June 9-13, 2014
Arbeitsgemeinschaft: Sofic Entropy
Oberwolfach, October 6-12, 2013
Dynamics, Geometry, and Operator Algebras
Texas A&M, August 5-9, 2013
SUMIRFAS
Texas A&M, August 2-4, 2013
SUMIRFAS
Texas A&M, August 3-5, 2012
Larsonfest
Texas A&M, July 20-22, 2012
Groups, Geometry, and Random Structures
Texas A&M, March 22-25, 2012
Set Theory and C*-Algebras
American Institute of Mathematics, January 22-26, 2012
Session on Dynamical Systems and Operator Algebras
AMS Sectional Meeting, University of Nebraska, October 14-16, 2011
Group Actions on Measure Spaces
Texas A&M, March 24-27, 2011
Set Theory and Functional Analysis
Texas A&M, July 26-30, 2010
East Coast Operator Algebras Symposium
Texas A&M, October 24-25, 2009
Operator Algebras, Dynamics, and Classification
Texas A&M, August 4-8, 2008