Petyt, Harry; Spriano, Davide; Zalloum, Abdul Hyperbolic models for \(\mathrm{CAT}(0)\) spaces. (English) Zbl 1542.20193 Adv. Math. 450, Article ID 109742, 66 p. (2024). Reviewer: Egle Bettio (Venezia) MSC: 20F65 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lafont, Jean-François; Ruffoni, Lorenzo Special cubulation of strict hyperbolization. (English) Zbl 07846291 Invent. Math. 236, No. 3, 925-997 (2024). MSC: 20F67 53C23 20E26 57Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Munro, Zachary Random group actions on \(\mathrm{CAT}(0)\) square complexes. (English) Zbl 1540.20080 Math. Z. 307, No. 1, Paper No. 1, 14 p. (2024). Reviewer: Mark Hagen (Bristol) MSC: 20F65 20P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Samei, Ebrahim; Wiersma, Matthew Exotic \(\mathrm{C}^*\)-algebras of geometric groups. (English) Zbl 1537.46042 J. Funct. Anal. 286, No. 2, Article ID 110228, 32 p. (2024). Reviewer: Sven Raum (Potsdam) MSC: 46L05 20F65 22D25 22D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bader, Shaked; Lazarovich, Nir CAT(0) polygonal complexes are 2-median. (English) Zbl 1526.51004 Geom. Dedicata 218, No. 1, Paper No. 5, 31 p. (2024). MSC: 51E24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Das, Shubhabrata; Ghosh, Partha Sarathi Stability of the Haagerup property under graph products. (English) Zbl 1531.20053 Arch. Math. 121, No. 3, 257-265 (2023). Reviewer: Rylee Lyman (Newark) MSC: 20F65 43A35 20E06 × Cite Format Result Cite Review PDF Full Text: DOI
Genevois, Anthony CAT(0) cube complexes with flat hyperplanes. (English) Zbl 1512.20134 Proc. Am. Math. Soc. 151, No. 7, 2749-2757 (2023). MSC: 20F65 20F67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beyrer, Jonas; Fioravanti, Elia Cross ratios and cubulations of hyperbolic groups. (English) Zbl 1512.20148 Math. Ann. 384, No. 3-4, 1547-1592 (2022). MSC: 20F67 20F65 57M07 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Marrakchi, Amine; Vaes, Stefaan Nonsingular Gaussian actions: beyond the mixing case. (English) Zbl 1495.37005 Adv. Math. 397, Article ID 108190, 62 p. (2022). MSC: 37A15 37A46 37C85 28D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bestvina, Mladen; Bromberg, Ken; Fujiwara, Koji Proper actions on finite products of quasi-trees. (Actions propres sur des produits finis de quasi-arbres.) (English. French summary) Zbl 1491.20089 Ann. Henri Lebesgue 4, 685-709 (2021). Reviewer: Rylee Lyman (Newark) MSC: 20F65 20E08 20F34 20F67 20F69 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Chatterji, Indira; Dahmani, François Proper actions on \(\ell^p\)-spaces for relatively hyperbolic groups. (Des actions propres de groupes relativement hyperboliques sur des espaces \(\ell^p\).) (English. French summary) Zbl 1511.20175 Ann. Henri Lebesgue 3, 35-66 (2020). MSC: 20F67 22F05 57M07 58B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Leder, Nils; Varghese, Olga A note on locally elliptic actions on cube complexes. (English) Zbl 1491.20091 Innov. Incidence Geom. 18, No. 1, 1-6 (2020). MSC: 20F65 51F99 55M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoda, Nima Quadric complexes. (English) Zbl 1530.20133 Mich. Math. J. 69, No. 2, 241-271 (2020). MSC: 20F65 57K20 20F06 05C12 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Huang, Jingyin; Prytuła, Tomasz Commensurators of abelian subgroups in CAT(0) groups. (English) Zbl 1485.20105 Math. Z. 296, No. 1-2, 79-98 (2020). MSC: 20F65 20F67 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Jingyin; Sabok, Marcin; Shinko, Forte Hyperfiniteness of boundary actions of cubulated hyperbolic groups. (English) Zbl 1484.20074 Ergodic Theory Dyn. Syst. 40, No. 9, 2453-2466 (2020). MSC: 20F67 20F65 03E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hagen, Mark F.; Susse, Tim On hierarchical hyperbolicity of cubical groups. (English) Zbl 1453.20056 Isr. J. Math. 236, No. 1, 45-89 (2020). Reviewer: Stephan Rosebrock (Karlsruhe) MSC: 20F65 20F67 57M05 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Genevois, Anthony A note on torsion subgroups of groups acting on finite-dimensional CAT(0) cube complexes. (English) Zbl 1481.20152 Discrete Math. 343, No. 6, Article ID 111832, 11 p. (2020). MSC: 20F65 20E22 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marquis, Timothée On geodesic ray bundles in buildings. (English) Zbl 1505.20038 Geom. Dedicata 202, 27-43 (2019). MSC: 20F67 20F65 20E42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Varghese, Olga A condition that prevents groups from acting fixed point free on cube complexes. (English) Zbl 1416.51005 Geom. Dedicata 200, 85-91 (2019). MSC: 51F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Genevois, Anthony Hyperbolic and cubical rigidities of Thompson’s group \(V\). (English) Zbl 1450.20009 J. Group Theory 22, No. 2, 313-345 (2019). Reviewer: Dimitrios Varsos (Athína) MSC: 20F65 20E32 20F67 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farley, Daniel A proof of Sageev’s theorem on hyperplanes in CAT(0) cubical complexes. (English) Zbl 1434.20026 Davis, Michael W. (ed.) et al., Topology and geometric group theory, Ohio State University, Columbus, USA, 2010–2011. Cham: Springer. Springer Proc. Math. Stat. 184, 127-142 (2016). MSC: 20F65 57M07 20F67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Józiak, Paweł Conditionally strictly negative definite kernels. (English) Zbl 1327.30071 Linear Multilinear Algebra 63, No. 12, 2406-2418 (2015). MSC: 30L05 46B85 05C05 05C12 15B48 20F55 43A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hruska, G. C.; Wise, Daniel T. Finiteness properties of cubulated groups. (English) Zbl 1335.20043 Compos. Math. 150, No. 3, 453-506 (2014). MSC: 20F65 20E08 20F67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Turaev, Vladimir Matching groups and gliding systems. (English) Zbl 1287.05120 J. Geom. Phys. 81, 128-144 (2014). MSC: 05C70 05C10 20F36 20F67 57M15 82B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kar, Aditi; Niblo, Graham A. A topological splitting theorem for Poincaré duality groups and high-dimensional manifolds. (English) Zbl 1309.57020 Geom. Topol. 17, No. 4, 2203-2221 (2013). Reviewer: Beatrice Bleile (Armidale) MSC: 57N35 20F65 20E06 57P10 57Q20 57R67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arzhantseva, Goulnara; Guentner, Erik; Špakula, Ján Coarse non-amenability and coarse embeddings. (English) Zbl 1275.46013 Geom. Funct. Anal. 22, No. 1, 22-36 (2012). MSC: 46B85 43A07 05C25 20F65 20F69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fujiwara, Koji; Toyoda, Tetsu Random groups have fixed points on \(\text{CAT}(0)\) cube complexes. (English) Zbl 1238.53029 Proc. Am. Math. Soc. 140, No. 3, 1023-1031 (2012). Reviewer: Leonid Kovalev (Syracuse) MSC: 53C23 20F65 20P05 51F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Behrstock, Jason; Charney, Ruth Divergence and quasimorphisms of right-angled Artin groups. (English) Zbl 1251.20036 Math. Ann. 352, No. 2, 339-356 (2012). Reviewer: Dimitrios Varsos (Athenai) MSC: 20F36 20F65 20F05 57M07 05C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ollivier, Yann; Wise, Daniel T. Cubulating random groups at density less than \(1/6\). (English) Zbl 1277.20048 Trans. Am. Math. Soc. 363, No. 9, 4701-4733 (2011). MSC: 20F65 20P05 20F67 20F69 20F05 × Cite Format Result Cite Review PDF Full Text: DOI
Scott, Richard Rationality and reciprocity for the greedy normal form of a Coxeter group. (English) Zbl 1222.20028 Trans. Am. Math. Soc. 363, No. 1, 385-415 (2011). Reviewer: Shi Jian-yi (Shanghai) MSC: 20F55 20F10 05A15 05E15 20F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guentner, Erik; Higson, Nigel Weak amenability of CAT(0)-cubical groups. (English) Zbl 1208.46054 Geom. Dedicata 148, 137-156 (2010). MSC: 46L07 20F65 22D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mizuta, Naokazu A Bożejko-Picardello type inequality for finite-dimensional CAT(0) cube complexes. (English) Zbl 1135.43001 J. Funct. Anal. 254, No. 3, 760-772 (2008). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 43A07 43A35 × Cite Format Result Cite Review PDF Full Text: DOI
Buyalo, Sergei; Dranishnikov, Alexander; Schroeder, Viktor Embeddings of hyperbolic groups into products of binary trees. (English) Zbl 1157.57003 Invent. Math. 169, No. 1, 153-192 (2007). Reviewer: Andrzej Szczepański (Gdańsk) MSC: 57M07 53C23 54E40 54E35 20F65 20E08 × Cite Format Result Cite Review PDF Full Text: DOI
Ollivier, Yann; Wise, Daniel T. Kazhdan groups with infinite outer automorphism group. (English) Zbl 1176.20031 Trans. Am. Math. Soc. 359, No. 5, 1959-1976 (2007). MSC: 20F06 20F28 20E07 20F05 20E22 20P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Cornulier, Yves Relative Kazhdan property. (English) Zbl 1107.22001 Ann. Sci. Éc. Norm. Supér. (4) 39, No. 2, 301-333 (2006). Reviewer: S. Ganguly (Kolkata) MSC: 22D10 43A35 22E46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam Numdam EuDML
Glasner, Yair; Mozes, Shahar Automata and square complexes. (English) Zbl 1088.20037 Geom. Dedicata 111, 43-64 (2005). Reviewer: Tero J. Harju (Turku) MSC: 20M35 68Q70 20F05 37B15 20E08 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campbell, Sarah; Niblo, Graham A. Hilbert space compression and exactness of discrete groups. (English) Zbl 1121.20032 J. Funct. Anal. 222, No. 2, 292-305 (2005). MSC: 20F65 20F06 57M07 20F69 46L99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Farley, Daniel S. Actions of picture groups on CAT(0) cubical complexes. (English) Zbl 1139.20038 Geom. Dedicata 110, 221-242 (2005). MSC: 20F65 43A07 43A15 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, Xiangdong Groups acting on CAT(0) square complexes. (English) Zbl 1078.57006 Geom. Dedicata 109, 59-88 (2004). Reviewer: Ostap M. Davydov (Chelyabinsk) MSC: 57M20 20F67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nica, Bogdan Cubulating spaces with walls. (English) Zbl 1131.20030 Algebr. Geom. Topol. 4, 297-309 (2004). MSC: 20F65 53C23 20E42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Noskov, G. A. Group actions on non-Archimedean trees, cube complexes and automata. (English) Zbl 1106.20309 J. Group Theory 3, No. 1, 101-112 (2000). MSC: 20F65 20E08 20F05 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Pansu, Pierre Formulas of Matsushima, of Garland and property (T) for groups acting on symmetric spaces or buildings. (Formules de Matsushima, de Garland et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles.) (French) Zbl 0933.22009 Bull. Soc. Math. Fr. 126, No. 1, 107-139 (1998). Reviewer: E.Kaniuth (Paderborn) MSC: 22D10 22E40 51E24 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML Link
Niblo, Graham A.; Roller, Martin A. Groups acting on cubes and Kazhdan’s property (T). (English) Zbl 0906.20024 Proc. Am. Math. Soc. 126, No. 3, 693-699 (1998). MSC: 20F65 20E08 57M07 57M60 × Cite Format Result Cite Review PDF Full Text: DOI