Dikranjan, Dikran; Bruno, Anna Giordano; Virili, Simone Ore localization of amenable monoid actions and applications toward entropy – addition formulas and the bridge theorem. (English) Zbl 07783579 Ill. J. Math. 67, No. 4, 715-787 (2023). Reviewer: Radoslav M. Dimitrić (New York) MSC: 18A40 20K30 37B40 54C70 54H15 18F60 20K40 20M15 20M20 22D35 43A07 54B30 PDFBibTeX XMLCite \textit{D. Dikranjan} et al., Ill. J. Math. 67, No. 4, 715--787 (2023; Zbl 07783579) Full Text: DOI arXiv Link
Bao, Jiakang; He, Yang-Hui; Zahabi, Ali Mahler measure for a quiver symphony. (English) Zbl 1502.81054 Commun. Math. Phys. 394, No. 2, 573-624 (2022). MSC: 81T13 70S15 16G20 11R06 14T90 43A40 82B26 PDFBibTeX XMLCite \textit{J. Bao} et al., Commun. Math. Phys. 394, No. 2, 573--624 (2022; Zbl 1502.81054) Full Text: DOI arXiv
Fischer, Véronique Asymptotics and zeta functions on compact nilmanifolds. (English) Zbl 1485.58023 J. Math. Pures Appl. (9) 160, 1-28 (2022). Reviewer: Shu-Yu Hsu (Chiayi) MSC: 58J50 58J35 35K08 35P05 53C17 43A85 PDFBibTeX XMLCite \textit{V. Fischer}, J. Math. Pures Appl. (9) 160, 1--28 (2022; Zbl 1485.58023) Full Text: DOI arXiv
Dikranjan, Dikran; Fornasiero, Antongiulio; Giordano Bruno, Anna Algebraic entropy for amenable semigroup actions. (English) Zbl 1453.20074 J. Algebra 556, 467-546 (2020). Reviewer: Nikolay I. Kryuchkov (Ryazan) MSC: 20K30 20M20 37A35 37B40 43A07 PDFBibTeX XMLCite \textit{D. Dikranjan} et al., J. Algebra 556, 467--546 (2020; Zbl 1453.20074) Full Text: DOI arXiv
Huang, Xiaojun; Liu, Jinsong; Zhu, Changrong The Katok’s entropy formula for amenable group actions. (English) Zbl 1396.37009 Discrete Contin. Dyn. Syst. 38, No. 9, 4467-4482 (2018). MSC: 37A35 37B40 28D20 43A07 PDFBibTeX XMLCite \textit{X. Huang} et al., Discrete Contin. Dyn. Syst. 38, No. 9, 4467--4482 (2018; Zbl 1396.37009) Full Text: DOI
Chu, Cho-Ho; Li, Xin Amenability, Reiter’s condition and Liouville property. (English) Zbl 1509.22002 J. Funct. Anal. 274, No. 12, 3291-3324 (2018). MSC: 22A22 43A05 43A07 45E10 46E27 PDFBibTeX XMLCite \textit{C.-H. Chu} and \textit{X. Li}, J. Funct. Anal. 274, No. 12, 3291--3324 (2018; Zbl 1509.22002) Full Text: DOI arXiv Link
Hayes, Ben Metric mean dimension for algebraic actions of sofic groups. (English) Zbl 1376.37014 Trans. Am. Math. Soc. 369, No. 10, 6853-6897 (2017). MSC: 37A45 37A35 37B40 22D25 43A07 PDFBibTeX XMLCite \textit{B. Hayes}, Trans. Am. Math. Soc. 369, No. 10, 6853--6897 (2017; Zbl 1376.37014) Full Text: DOI arXiv
Chung, Nhan-Phu; Li, Hanfeng Homoclinic groups, IE groups, and expansive algebraic actions. (English) Zbl 1320.37009 Invent. Math. 199, No. 3, 805-858 (2015). Reviewer: Anna Giordano Bruno (Udine) MSC: 37B40 22D40 37A15 20C07 43A20 22D15 PDFBibTeX XMLCite \textit{N.-P. Chung} and \textit{H. Li}, Invent. Math. 199, No. 3, 805--858 (2015; Zbl 1320.37009) Full Text: DOI arXiv
Göll, Martin; Schmidt, Klaus; Verbitskiy, Evgeny Algebraic actions of the discrete Heisenberg group: expansiveness and homoclinic points. (English) Zbl 1295.37005 Indag. Math., New Ser. 25, No. 4, 713-744 (2014). Reviewer: Christoph Aistleitner (Kobe) MSC: 37B10 22E25 43A05 PDFBibTeX XMLCite \textit{M. Göll} et al., Indag. Math., New Ser. 25, No. 4, 713--744 (2014; Zbl 1295.37005) Full Text: DOI arXiv
Norling, Magnus Dahler Inverse semigroup \(C^\ast\)-algebras associated with left cancellative semigroups. (English) Zbl 1303.46040 Proc. Edinb. Math. Soc., II. Ser. 57, No. 2, 533-564 (2014). MSC: 46L05 20M18 43A07 06A12 PDFBibTeX XMLCite \textit{M. D. Norling}, Proc. Edinb. Math. Soc., II. Ser. 57, No. 2, 533--564 (2014; Zbl 1303.46040) Full Text: DOI arXiv
Brownlowe, Nathan; Ramagge, Jacqui; Robertson, David; Whittaker, Michael F. Zappa-Szép products of semigroups and their \(C^\ast\)-algebras. (English) Zbl 1286.22002 J. Funct. Anal. 266, No. 6, 3937-3967 (2014). MSC: 22A30 22D25 43A07 46L05 PDFBibTeX XMLCite \textit{N. Brownlowe} et al., J. Funct. Anal. 266, No. 6, 3937--3967 (2014; Zbl 1286.22002) Full Text: DOI arXiv
Li, Hanfeng; Thom, Andreas Entropy, determinants, and \(L^{2}\)-torsion. (English) Zbl 1283.37031 J. Am. Math. Soc. 27, No. 1, 239-292 (2014). Reviewer: Anna Giordano Bruno (Udine) MSC: 37B40 37A35 22D25 58J52 43A07 PDFBibTeX XMLCite \textit{H. Li} and \textit{A. Thom}, J. Am. Math. Soc. 27, No. 1, 239--292 (2014; Zbl 1283.37031) Full Text: DOI arXiv
Li, Xin Nuclearity of semigroup \(C^\ast\)-algebras and the connection to amenability. (English) Zbl 1293.46030 Adv. Math. 244, 626-662 (2013). Reviewer: Eduard Ortega (Todalen) MSC: 46L05 43A07 22D25 46L35 PDFBibTeX XMLCite \textit{X. Li}, Adv. Math. 244, 626--662 (2013; Zbl 1293.46030) Full Text: DOI arXiv
Li, Xin Semigroup \(C^{*}\)-algebras and amenability of semigroups. (English) Zbl 1243.22006 J. Funct. Anal. 262, No. 10, 4302-4340 (2012). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 22D25 46L05 43A07 PDFBibTeX XMLCite \textit{X. Li}, J. Funct. Anal. 262, No. 10, 4302--4340 (2012; Zbl 1243.22006) Full Text: DOI arXiv
Linnell, Peter; Lück, Wolfgang; Sauer, Roman The limit of \(\mathbb F_p\)-Betti numbers of a tower of finite covers with amenable fundamental groups. (English) Zbl 1272.55006 Proc. Am. Math. Soc. 139, No. 2, 421-434 (2011). MSC: 55P99 16U20 43A07 55N99 PDFBibTeX XMLCite \textit{P. Linnell} et al., Proc. Am. Math. Soc. 139, No. 2, 421--434 (2011; Zbl 1272.55006) Full Text: DOI arXiv
Björklund, Michael; Fish, Alexander Continuous measures on homogeneous spaces. (English) Zbl 1194.60009 Ann. Inst. Fourier 59, No. 6, 2169-2174 (2009). Reviewer: Wilfried Hazod (Dortmund) MSC: 60B15 30C40 43A85 57S25 PDFBibTeX XMLCite \textit{M. Björklund} and \textit{A. Fish}, Ann. Inst. Fourier 59, No. 6, 2169--2174 (2009; Zbl 1194.60009) Full Text: DOI arXiv EuDML
Deninger, Christopher Fuglede-Kadison determinants and entropy for actions of discrete amenable groups. (English) Zbl 1104.22010 J. Am. Math. Soc. 19, No. 3, 737-758 (2006). Reviewer: Manuel Sanchis (Castelló) MSC: 22D25 37A35 37B40 43A07 46L55 PDFBibTeX XMLCite \textit{C. Deninger}, J. Am. Math. Soc. 19, No. 3, 737--758 (2006; Zbl 1104.22010) Full Text: DOI arXiv
Kurokawa, Nobushige; Wakayama, Masato Gamma and sine functions for Lie groups and period integrals. (English) Zbl 1168.11321 Indag. Math., New Ser. 16, No. 3-4, 585-607 (2005). MSC: 11M36 43A80 22E30 33B30 PDFBibTeX XMLCite \textit{N. Kurokawa} and \textit{M. Wakayama}, Indag. Math., New Ser. 16, No. 3--4, 585--607 (2005; Zbl 1168.11321) Full Text: DOI
Goette, Sebastian Equivariant \(\eta\)-invariants and \(\eta\)-forms. (English) Zbl 0974.58021 J. Reine Angew. Math. 526, 181-236 (2000). Reviewer: M.Raußen (Aalborg) MSC: 58J28 58J20 43A85 PDFBibTeX XMLCite \textit{S. Goette}, J. Reine Angew. Math. 526, 181--236 (2000; Zbl 0974.58021) Full Text: DOI Link