Kerr, David; Tucker-Drob, Robin Dynamical alternating groups, stability, property gamma, and inner amenability. (English) Zbl 1525.37003 Ann. Sci. Éc. Norm. Supér. (4) 56, No. 1, 59-90 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 37A20 37A55 37B05 37B40 46L36 46L05 46L10 46L55 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{R. Tucker-Drob}, Ann. Sci. Éc. Norm. Supér. (4) 56, No. 1, 59--90 (2023; Zbl 1525.37003) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Entropy, products, and bounded orbit equivalence. (English) Zbl 1517.37007 Ergodic Theory Dyn. Syst. 43, No. 3, 904-942 (2023). MSC: 37A15 37A20 37A35 37B40 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Ergodic Theory Dyn. Syst. 43, No. 3, 904--942 (2023; Zbl 1517.37007) Full Text: DOI arXiv
Kerr, David (ed.); Tserunyan, Anush (ed.); Tucker-Drob, Robin D. (ed.) Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16–22, 2022. (English) Zbl 1506.00085 Oberwolfach Rep. 19, No. 1, 107-169 (2022). MSC: 00B05 00B25 37-06 20-06 28-06 03E15 20Cxx 20Exx 20Fxx 28A05 28Dxx 37Axx 37Bxx 54H05 60Bxx PDFBibTeX XMLCite \textit{D. Kerr} (ed.) et al., Oberwolfach Rep. 19, No. 1, 107--169 (2022; Zbl 1506.00085) Full Text: DOI
Kerr, David Book review of: R. J. Zimmer, Group actions in ergodic theory, geometry, and topology. Selected papers. (English) Zbl 1470.00006 Bull. Am. Math. Soc., New Ser. 58, No. 4, 627-634 (2021). MSC: 00A17 22-06 43-06 28-06 37-06 01A75 00B15 PDFBibTeX XMLCite \textit{D. Kerr}, Bull. Am. Math. Soc., New Ser. 58, No. 4, 627--634 (2021; Zbl 1470.00006) Full Text: DOI
Kerr, David; Li, Hanfeng Entropy, Shannon orbit equivalence, and sparse connectivity. (English) Zbl 1478.37004 Math. Ann. 380, No. 3-4, 1497-1562 (2021). MSC: 37A20 37A35 37B05 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Math. Ann. 380, No. 3--4, 1497--1562 (2021; Zbl 1478.37004) Full Text: DOI arXiv
Kerr, David Dimension, comparison, and almost finiteness. (English) Zbl 1465.37010 J. Eur. Math. Soc. (JEMS) 22, No. 11, 3697-3745 (2020). Reviewer: Ralf Meyer (Göttingen) MSC: 37A55 37C85 46L35 46L06 46L45 PDFBibTeX XMLCite \textit{D. Kerr}, J. Eur. Math. Soc. (JEMS) 22, No. 11, 3697--3745 (2020; Zbl 1465.37010) Full Text: DOI arXiv
Kerr, David \(C^*\)-algebras and topological dynamics: finite approximation and paradoxicality. (English) Zbl 1423.46092 Perera, Francesc (ed.), Crossed products of \(C^*\)-algebras, topological dynamics, and classification. Cham: Birkhäuser. Adv. Courses in Math., CRM Barc., 349-431 (2018). MSC: 46L55 46-02 37A55 54H20 PDFBibTeX XMLCite \textit{D. Kerr}, in: Crossed products of \(C^*\)-algebras, topological dynamics, and classification. Cham: Birkhäuser. 349--431 (2018; Zbl 1423.46092)
Brannan, Michael; Kerr, David Quantum groups, property (T), and weak mixing. (English) Zbl 1429.20032 Commun. Math. Phys. 360, No. 3, 1043-1059 (2018). Reviewer: Gastón Andrés García (La Plata) MSC: 20G42 17B37 22D55 37A55 46L89 PDFBibTeX XMLCite \textit{M. Brannan} and \textit{D. Kerr}, Commun. Math. Phys. 360, No. 3, 1043--1059 (2018; Zbl 1429.20032) Full Text: DOI arXiv
Conley, Clinton T.; Jackson, Steve C.; Kerr, David; Marks, Andrew S.; Seward, Brandon; Tucker-Drob, Robin D. Følner tilings for actions of amenable groups. (English) Zbl 1415.37007 Math. Ann. 371, No. 1-2, 663-683 (2018). Reviewer: Anna Savvopoulou (South Bend) MSC: 37A05 22D40 28D05 43A07 PDFBibTeX XMLCite \textit{C. T. Conley} et al., Math. Ann. 371, No. 1--2, 663--683 (2018; Zbl 1415.37007) Full Text: DOI arXiv
Kerr, David An introduction to sofic entropy. (English) Zbl 1384.37004 Bercovici, Hari et al., Recent advances in operator theory and operator algebras. Selected papers based on the presentations at the conference on recent advances in operator theory and operator algebras (OTOA-2014), Indian Statistical Institute, Bangalore, India, December 9–19, 2014. Boca Raton, FL: CRC Press (ISBN 978-1-138-03021-3/hbk; 978-1-315-11693-8/ebook). 83-116 (2018). Reviewer: Thomas B. Ward (Leeds) MSC: 37-06 37B40 37B10 28D20 37A35 PDFBibTeX XMLCite \textit{D. Kerr}, in: Recent advances in operator theory and operator algebras. Selected papers based on the presentations at the conference on recent advances in operator theory and operator algebras (OTOA-2014), Indian Statistical Institute, Bangalore, India, December 9--19, 2014. Boca Raton, FL: CRC Press. 83--116 (2018; Zbl 1384.37004) Full Text: DOI
Kerr, David; Li, Hanfeng Ergodic theory. Independence and dichotomies. (English) Zbl 1396.37001 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-319-49845-4/hbk; 978-3-319-49847-8/ebook). xxxiv, 431 p. (2016). Reviewer: Thomas B. Ward (Leeds) MSC: 37-02 37Axx 37Bxx PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Ergodic theory. Independence and dichotomies. Cham: Springer (2016; Zbl 1396.37001) Full Text: DOI
Kerr, David Bernoulli actions of sofic groups have completely positive entropy. (English) Zbl 1320.37021 Isr. J. Math. 202, 461-474 (2014). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37F35 37A15 PDFBibTeX XMLCite \textit{D. Kerr}, Isr. J. Math. 202, 461--474 (2014; Zbl 1320.37021) Full Text: DOI
Dykema, Ken; Kerr, David; Pichot, Mikaël Sofic dimension for discrete measured groupoids. (English) Zbl 1352.20039 Trans. Am. Math. Soc. 366, No. 2, 707-748 (2014). MSC: 20L05 22A22 20E06 37A15 43A07 PDFBibTeX XMLCite \textit{K. Dykema} et al., Trans. Am. Math. Soc. 366, No. 2, 707--748 (2014; Zbl 1352.20039) Full Text: DOI arXiv Link
Bowen, Lewis (ed.); Kerr, David (ed.) Working session: Sofic entropy. Abstracts from the working session held October 6–11, 2013. (Arbeitsgemeinschaft: Sofic entropy.) (English) Zbl 1349.00077 Oberwolfach Rep. 10, No. 4, 2919-2961 (2013). MSC: 00B05 00B25 37-06 37A35 PDFBibTeX XMLCite \textit{L. Bowen} (ed.) and \textit{D. Kerr} (ed.), Oberwolfach Rep. 10, No. 4, 2919--2961 (2013; Zbl 1349.00077) Full Text: DOI
Kerr, David; Li, Hanfeng Combinatorial independence and sofic entropy. (English) Zbl 1315.37025 Commun. Math. Stat. 1, No. 2, 213-257 (2013). Reviewer: Dominik Kwietniak (Krakow) MSC: 37D45 37A35 37B40 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Commun. Math. Stat. 1, No. 2, 213--257 (2013; Zbl 1315.37025) Full Text: DOI arXiv
Kerr, David Sofic measure entropy via finite partitions. (English) Zbl 1280.37007 Groups Geom. Dyn. 7, No. 3, 617-632 (2013). Reviewer: Yujun Zhu (Shijiazhuang) MSC: 37A35 PDFBibTeX XMLCite \textit{D. Kerr}, Groups Geom. Dyn. 7, No. 3, 617--632 (2013; Zbl 1280.37007) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Soficity, amenability, and dynamical entropy. (English) Zbl 1282.37011 Am. J. Math. 135, No. 3, 721-761 (2013). Reviewer: Thomas B. Ward (Durham) MSC: 37A35 37B40 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Am. J. Math. 135, No. 3, 721--761 (2013; Zbl 1282.37011) Full Text: DOI arXiv
Kerr, David; Nowak, Piotr W. Residually finite actions and crossed products. (English) Zbl 1280.37009 Ergodic Theory Dyn. Syst. 32, No. 5, 1585-1614 (2012). Reviewer: Antonios Manoussos (Bielefeld) MSC: 37B05 37C85 46L55 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{P. W. Nowak}, Ergodic Theory Dyn. Syst. 32, No. 5, 1585--1614 (2012; Zbl 1280.37009) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Bernoulli actions and infinite entropy. (English) Zbl 1246.37015 Groups Geom. Dyn. 5, No. 3, 663-672 (2011). MSC: 37A35 37A15 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Groups Geom. Dyn. 5, No. 3, 663--672 (2011; Zbl 1246.37015) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Entropy and the variational principle for actions of sofic groups. (English) Zbl 1417.37041 Invent. Math. 186, No. 3, 501-558 (2011). MSC: 37A15 37A35 37A55 22D25 37B40 22F10 22D40 28D15 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Invent. Math. 186, No. 3, 501--558 (2011; Zbl 1417.37041) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng; Pichot, Mikaël Turbulence, representations, and trace-preserving actions. (English) Zbl 1192.46063 Proc. Lond. Math. Soc. (3) 100, No. 2, 459-484 (2010). Reviewer: Victor Sharapov (Volgograd) MSC: 46L55 37A15 PDFBibTeX XMLCite \textit{D. Kerr} et al., Proc. Lond. Math. Soc. (3) 100, No. 2, 459--484 (2010; Zbl 1192.46063) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Combinatorial independence in measurable dynamics. (English) Zbl 1170.37007 J. Funct. Anal. 256, No. 5, 1341-1386 (2009). Reviewer: Makoto Mori (Tokyo) MSC: 37A25 37A55 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, J. Funct. Anal. 256, No. 5, 1341--1386 (2009; Zbl 1170.37007) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Independence in topological and \(C^*\)-dynamics. (English) Zbl 1131.46046 Math. Ann. 338, No. 4, 869-926 (2007). Reviewer: Victor Sharapov (Volgograd) MSC: 46L55 37B40 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Math. Ann. 338, No. 4, 869--926 (2007; Zbl 1131.46046) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Positive Voiculescu–Brown entropy in non-commutative toral automorphisms. (English) Zbl 1131.46045 Ergodic Theory Dyn. Syst. 26, No. 6, 1855-1866 (2006). MSC: 46L54 37A35 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Ergodic Theory Dyn. Syst. 26, No. 6, 1855--1866 (2006; Zbl 1131.46045) Full Text: DOI arXiv
Kerr, David A geometric approach to Voiculescu-Brown entropy. (English) Zbl 1082.46046 Can. Math. Bull. 47, No. 4, 553-565 (2004). MSC: 46L55 37B40 PDFBibTeX XMLCite \textit{D. Kerr}, Can. Math. Bull. 47, No. 4, 553--565 (2004; Zbl 1082.46046) Full Text: DOI arXiv