Proietti, Valerio; Yamashita, Makoto Homology and \(K\)-theory of dynamical systems. IV: Further structural results on groupoid homology. (English) Zbl 07983550 Ergodic Theory Dyn. Syst. 45, No. 1, 247-273 (2025). MSC: 57-XX 46L85 22A22 18G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martos, Rubén Quantum direct products and the Künneth class. (Produits directs quantiques et la classe de Künneth.) (English. French summary) Zbl 07957316 Ann. Math. Blaise Pascal 31, No. 1, 11-45 (2024). MSC: 46L80 19K35 46L06 22D25 20G42 18G15 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takata, Doman An index theorem for loop spaces. (English) Zbl 07944297 J. Geom. Phys. 206, Article ID 105291, 33 p. (2024). MSC: 19K56 19K35 19L47 58B20 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gardella, Eusebio; Geffen, Shirly; Kranz, Julian; Naryshkin, Petr; Vaccaro, Andrea Tracially amenable actions and purely infinite crossed products. (English) Zbl 07932389 Math. Ann. 390, No. 3, 3665-3690 (2024). MSC: 46L55 46L35 22Fxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Hao; Proietti, Valerio; Wang, Hang A geometric Elliott invariant and noncommutative rigidity of mapping tori. (English) Zbl 07919650 J. Funct. Anal. 287, No. 11, Article ID 110625, 41 p. (2024). MSC: 37B02 37A55 46L85 46L55 58K65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Liang; Luo, Zheng; Wang, Qin; Zhang, Yazhou \(K\)-theory of the maximal and reduced Roe algebras of metric spaces with A-by-CE coarse fibrations. (English) Zbl 07919226 J. Topol. Anal. 16, No. 6, 989-1016 (2024). MSC: 46L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arano, Yuki; Kitamura, Kan; Kubota, Yosuke Tensor category equivariant KK-theory. (English) Zbl 1547.19003 Adv. Math. 453, Article ID 109848, 72 p. (2024). Reviewer: Ralf Meyer (Göttingen) MSC: 19K35 20G42 46L35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ebert, Johannes; Wiemeler, Michael On the homotopy type of the space of metrics of positive scalar curvature. (English) Zbl 07891441 J. Eur. Math. Soc. (JEMS) 26, No. 9, 3327-3363 (2024). MSC: 53C27 58D17 53C20 57R65 57R75 57R90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Öinert, Johan Units, zero-divisors and idempotents in rings graded by torsion-free groups. (English) Zbl 07874819 J. Group Theory 27, No. 4, 789-811 (2024). Reviewer: Leo Margolis (Madrid) MSC: 16S34 20K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carrión, José R.; Schafhauser, Christopher A topology on \(E\)-theory. (English) Zbl 1540.19006 J. Lond. Math. Soc., II. Ser. 109, No. 6, Article ID e12917, 32 p. (2024); corrigendum ibid. 110, No. 6, Article ID e70029, 1 p. (2024). Reviewer: Valerio Proietti (Oslo) MSC: 19K35 46L80 46L85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Benyin; Zhang, Jiawen The equivariant coarse Baum-Connes conjecture for actions by a-T-menable groups. (English) Zbl 07856583 Stud. Math. 275, No. 2, 99-146 (2024). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 46H35 58B34 51F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Jintao; Fu, Benyin; Wang, Qin The equivariant coarse Baum-Connes conjecture for metric spaces with proper group actions. (English) Zbl 07828314 J. Noncommut. Geom. 18, No. 1, 61-92 (2024). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 46H35 46M20 51F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chakraborty, Sayan; Echterhoff, Siegfried; Kranz, Julian; Nishikawa, Shintaro \(K\)-theory of noncommutative Bernoulli shifts. (English) Zbl 1539.19007 Math. Ann. 388, No. 3, 2671-2703 (2024). Reviewer: Ralf Meyer (Göttingen) MSC: 19K35 46L80 46L55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Öinert, Johan; Wagner, Stefan Complex group rings and group \(\mathrm{C}^*\)-algebras of group extensions. (English) Zbl 1537.16031 J. Algebr. Comb. 58, No. 2, 387-397 (2023). Reviewer: Anatolii Tushev (Dnipro) MSC: 16S34 16S35 20C07 20E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yamashita, Makoto Deformation of algebras associated with group cocycles. (English) Zbl 1537.46059 J. Noncommut. Geom. 17, No. 4, 1145-1166 (2023). MSC: 46L80 46L65 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yifan; Zhang, Jianguo \(B^p_r (F_n)\) has no nontrivial idempotents. (English) Zbl 1533.43002 Bull. Aust. Math. Soc. 108, No. 1, 142-149 (2023). MSC: 43A15 43A20 46H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brothier, Arnaud Forest-skein groups. II: Construction from homogeneously presented monoids. (English) Zbl 1520.20087 Int. J. Math. 34, No. 8, Article ID 2350042, 41 p. (2023). MSC: 20F38 20F69 20F36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Jinmin; Xie, Zhizhang; Yu, Guoliang Approximations of delocalized eta invariants by their finite analogues. (English) Zbl 1537.19005 Enseign. Math. (2) 69, No. 1-2, 51-91 (2023). Reviewer: Man-Ho Ho (Hong Kong) MSC: 19D55 19K56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Liang; Luo, Zheng; Wang, Qin; Zhang, Yazhou The twisted coarse Baum-Connes conjecture with coefficients in coarsely proper algebras. (English) Zbl 1526.46046 J. Funct. Anal. 285, No. 8, Article ID 110067, 41 p. (2023). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 × Cite Format Result Cite Review PDF Full Text: DOI
Brothier, Arnaud Haagerup property for wreath products constructed with Thompson’s groups. (English) Zbl 1521.20100 Groups Geom. Dyn. 17, No. 2, 671-718 (2023). Reviewer: Igor Subbotin (Los Angeles) MSC: 20F69 20F65 20E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dell’Aiera, Clément Coarse geometry of Hecke pairs and the Baum-Connes conjecture. (English) Zbl 1517.19001 Pac. J. Math. 322, No. 1, 21-37 (2023). Reviewer: Ralf Meyer (Göttingen) MSC: 19K35 46L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruce, Chris; Li, Xin On K-theoretic invariants of semigroup \(C^*\)-algebras from actions of congruence monoids. (English) Zbl 1515.46024 Am. J. Math. 145, No. 1, 251-285 (2023). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L05 46L80 11R04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chifan, Ionuţ; Diaz-Arias, Alec; Drimbe, Daniel \(W^\ast\) and \(C^\ast \)-superrigidity results for coinduced groups. (English) Zbl 1517.46041 J. Funct. Anal. 284, No. 1, Article ID 109730, 48 p. (2023). Reviewer: Sven Raum (Potsdam) MSC: 46L10 46L05 46L35 22D25 22D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azzali, Sara; Browne, Sarah L.; Gomez Aparicio, Maria Paula; Ruth, Lauren C.; Wang, Hang \(K\)-homology and \(K\)-theory of pure braid groups. (English) Zbl 07606900 New York J. Math. 28, 1256-1294 (2022). MSC: 58B34 20F36 19D55 46L80 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Savin, Anton; Schrohe, Elmar An index formula for groups of isometric linear canonical transformations. (English) Zbl 1496.58006 Doc. Math. 27, 983-1013 (2022). Reviewer: Jan Kurek (Lublin) MSC: 58J20 58J40 19K56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haettel, Thomas Cubulation of some triangle-free Artin groups. (English) Zbl 1514.20130 Groups Geom. Dyn. 16, No. 1, 287-304 (2022). MSC: 20F36 20F65 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Jintao The Novikov conjecture and extensions of coarsely embeddable groups. (English) Zbl 1498.19005 J. Noncommut. Geom. 16, No. 1, 265-310 (2022). Reviewer: Lin Shan (San Juan) MSC: 19K56 46L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kubota, Yosuke The relative Mishchenko-Fomenko higher index and almost flat bundles. II: Almost flat index pairing. (English) Zbl 1490.19008 J. Noncommut. Geom. 16, No. 1, 215-264 (2022). Reviewer: Adnane Elmrabty (Guelmim) MSC: 19K56 19K35 46L80 58J32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suzuki, Yuhei Non-amenable tight squeezes by Kirchberg algebras. (English) Zbl 1504.46074 Math. Ann. 382, No. 1-2, 631-653 (2022). Reviewer: Bernhard Burgstaller (Florianópolis) MSC: 46L55 46L07 46L05 19K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kwaśniewski, Bartosz K.; Li, Kang; Skalski, Adam The Haagerup property for twisted groupoid dynamical systems. (English) Zbl 1496.46051 J. Funct. Anal. 283, No. 1, Article ID 109484, 43 p. (2022). MSC: 46L05 22A22 43A22 46L55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jianguo; Zhou, Dapeng Uniformly bounded fibred coarse embeddability and uniformly bounded a-T-menability. (English) Zbl 1487.19009 J. Math. Anal. Appl. 513, No. 1, Article ID 126221, 16 p. (2022). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19K56 46L80 20F65 58J22 19K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xin \(K\)-theory for semigroup \(C^*\)-algebras and partial crossed products. (English) Zbl 1487.19008 Commun. Math. Phys. 390, No. 1, 1-32 (2022). Reviewer: Ralf Meyer (Göttingen) MSC: 19K35 46L80 46L55 47L60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Aastrup, Johannes; Grimstrup, Jesper Møller The metric nature of matter. (English) Zbl 1490.81120 J. Geom. Phys. 171, Article ID 104408, 20 p. (2022). MSC: 81T75 81T13 81R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aastrup, Johannes; Grimstrup, Jesper Møller Non-perturbative quantum field theory and the geometry of functional spaces. (English) Zbl 1537.81150 Fortschr. Phys. 69, No. 10, Article ID 2100106, 15 p. (2021). MSC: 81T16 81T75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Engel, Alexander; Wulff, Christopher; Zeidler, Rudolf Slant products on the Higson-Roe exact sequence. (Slant-produits sur la suite exacte de Higson-Roe.) (English. French summary) Zbl 1486.19003 Ann. Inst. Fourier 71, No. 3, 913-1021 (2021). Reviewer: Takahiro Sudo (Nishihara) MSC: 19K33 19K35 19K56 46L80 51F30 58J22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kato, Tsuyoshi Covering-monopole map and higher degree in non-commutative geometry. (English) Zbl 1509.58002 J. Noncommut. Geom. 15, No. 3, 995-1071 (2021). Reviewer: Matthew Stoffregen (Cambridge) MSC: 58B34 57R57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gardam, Giles A counterexample to the unit conjecture for group rings. (English) Zbl 1494.16026 Ann. Math. (2) 194, No. 3, 967-979 (2021). Reviewer: Leo Margolis (Brussel) MSC: 16S34 16U60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davis, James F.; Lück, Wolfgang Manifolds homotopy equivalent to certain torus bundles over lens spaces. (English) Zbl 1487.57037 Commun. Pure Appl. Math. 74, No. 11, 2348-2397 (2021). Reviewer: Hailiang Hu (Dalian) MSC: 57R19 57N65 57R65 55P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ozawa, Narutaka; Suzuki, Yuhei On characterizations of amenable \(\mathrm{C}^*\)-dynamical systems and new examples. (English) Zbl 1484.46073 Sel. Math., New Ser. 27, No. 5, Paper No. 92, 29 p. (2021). Reviewer: Ralf Meyer (Göttingen) MSC: 46L55 46L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dadarlat, Marius Obstructions to matricial stability of discrete groups and almost flat \(K\)-theory. (English) Zbl 1477.19005 Adv. Math. 384, Article ID 107722, 29 p. (2021). Reviewer: Ralf Meyer (Göttingen) MSC: 19K35 46L80 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arano, Yuki; Skalski, Adam On the Baum-Connes conjecture for discrete quantum groups with torsion and the quantum Rosenberg conjecture. (English) Zbl 1485.46073 Proc. Am. Math. Soc. 149, No. 12, 5237-5254 (2021). Reviewer: Simeng Wang (Saarbrücken) MSC: 46L67 46L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gomi, Kiyonori; Kubota, Yosuke; Thiang, Guo Chuan Twisted crystallographic T-duality via the Baum-Connes isomorphism. (English) Zbl 1473.19011 Int. J. Math. 32, No. 10, Article ID 2150078, 65 p. (2021). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19L50 46L60 19K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benameur, Moulay-Tahar The relative \(L^2\) index theorem for Galois coverings. (English) Zbl 1493.53072 Ann. \(K\)-Theory 6, No. 3, 503-541 (2021). Reviewer: Costache Apreutesei (Iaşi) MSC: 53C27 53C12 57R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Sherry; Wu, Jianchao; Yu, Guoliang The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces. (English) Zbl 1468.19009 Geom. Funct. Anal. 31, No. 2, 206-267 (2021). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 19K35 19K56 46L80 58J22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fok, Chi-Kwong; Mathai, Varghese The ring structure of twisted equivariant \(KK\)-theory for noncompact Lie groups. (English) Zbl 1473.19007 Commun. Math. Phys. 385, No. 2, 633-666 (2021). Reviewer: Jonathan Rosenberg (College Park) MSC: 19K35 22E30 22D25 22E67 53D50 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kasprowski, Daniel; Li, Kevin; Lück, Wolfgang \(K\)- and \(L\)-theory of graph products of groups. (English) Zbl 1466.18008 Groups Geom. Dyn. 15, No. 1, 269-311 (2021). Reviewer: Christoph Winges (Regensburg) MSC: 18F25 20F36 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burgstaller, Bernhard A note on a certain Baum-Connes map for inverse semigroups. (English) Zbl 1472.19003 Houston J. Math. 46, No. 3, 747-769 (2020). Reviewer: Valerio Proietti (Shanghai) MSC: 19K35 20M18 46L80 46L55 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Kubota, Yosuke The relative Mishchenko-Fomenko higher index and almost flat bundles. I: The relative Mishchenko-Fomenko index. (English) Zbl 1469.19010 J. Noncommut. Geom. 14, No. 3, 1209-1244 (2020). Reviewer: Ralf Meyer (Göttingen) MSC: 19K56 19K35 46L80 58J32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schafhauser, Christopher Subalgebras of simple AF-algebras. (English) Zbl 1465.46052 Ann. Math. (2) 192, No. 2, 309-352 (2020). MSC: 46L05 46L35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
M. Braga, Bruno; Chung, Yeong Chyuan; Li, Kang Coarse Baum-Connes conjecture and rigidity for Roe algebras. (English) Zbl 1484.46078 J. Funct. Anal. 279, No. 9, Article ID 108728, 20 p. (2020). MSC: 46L80 19K56 19K35 46B85 53C23 51F30 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nishikawa, Shintaro; Proietti, Valerio Groups with Spanier-Whitehead duality. (English) Zbl 1461.46074 Ann. \(K\)-Theory 5, No. 3, 465-500 (2020). MSC: 46L85 46L80 55P25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takata, Doman \(LT\)-equivariant index from the viewpoint of \(KK\)-theory. A global analysis on the infinite-dimensional Heisenberg group. (English) Zbl 1445.19004 J. Geom. Phys. 150, Article ID 103591, 30 p. (2020). Reviewer: Christopher Wulff (Göttingen) MSC: 19K56 58B34 58J22 22E67 19K35 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Stanley; Weinberger, Shmuel; Yu, Guoliang Positive scalar curvature and a new index theory for noncompact manifolds. (English) Zbl 1437.58017 J. Geom. Phys. 149, Article ID 103575, 22 p. (2020). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J20 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Emerson, Heath The class of a fibre in noncommutative geometry. (English) Zbl 1443.58016 J. Geom. Phys. 148, Article ID 103537, 37 p. (2020). Reviewer: Tatsuki Seto (Tokyo) MSC: 58J42 58B34 55N15 55N91 19L47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Qin; Wang, Zhen Persistence approximation property for maximal Roe algebras. (English) Zbl 1454.46071 Chin. Ann. Math., Ser. B 41, No. 1, 1-26 (2020). Reviewer: Ralf Meyer (Göttingen) MSC: 46L80 46L89 51F99 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, Zhizhang; Yu, Guoliang Higher invariants in noncommutative geometry. (English) Zbl 1464.46075 Chamseddine, Ali (ed.) et al., Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Cham: Springer. 691-751 (2019). MSC: 46L85 46-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gomez Aparicio, Maria Paula; Julg, Pierre; Valette, Alain The Baum-Connes conjecture: an extended survey. (English) Zbl 1447.58006 Chamseddine, Ali (ed.) et al., Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Cham: Springer. 127-244 (2019). Reviewer: Evgenios Kakariadis (Newcastle upon Tyne) MSC: 58B34 46L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martos, Rubén The Baum-Connes property for a quantum (semi-)direct product. (English) Zbl 1461.46073 J. Noncommut. Geom. 13, No. 4, 1295-1357 (2019). Reviewer: Ralf Meyer (Göttingen) MSC: 46L80 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, G. The Novikov conjecture. (English. Russian original) Zbl 1439.19009 Russ. Math. Surv. 74, No. 3, 525-541 (2019); translation from Usp. Mat. Nauk 74, No. 3, 167-184 (2019). Reviewer: Lin Shan (San Juan) MSC: 19K56 57R20 19K35 20F65 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aastrup, Johannes; Grimstrup, Jesper Møller On nonperturbative quantum field theory and noncommutative geometry. (English) Zbl 1428.81113 J. Geom. Phys. 145, Article ID 103466, 19 p. (2019). MSC: 81T10 81T16 81R60 81T20 81T13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nishikawa, Shintaro Correction to: \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space. (English) Zbl 1451.19020 J. Noncommut. Geom. 13, No. 2, 797-803 (2019). MSC: 19K56 46L80 19K35 58B34 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xin \(K\)-theory for generalized lamplighter groups. (English) Zbl 1429.46043 Proc. Am. Math. Soc. 147, No. 10, 4371-4378 (2019). MSC: 46L80 22D25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Nishikawa, Shintaro Direct splitting method for the Baum-Connes conjecture. (English) Zbl 1443.19001 J. Funct. Anal. 277, No. 7, 2259-2287 (2019). Reviewer: Bernhard Burgstaller (Florianópolis) MSC: 19K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pooya, Sanaz \(K\)-theory and \(K\)-homology of finite wreath products with free groups. (English) Zbl 1431.46053 Ill. J. Math. 63, No. 2, 317-334 (2019). Reviewer: Claude Schochet (Haifa) MSC: 46L80 55R40 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Chakraborty, Sayan; Yamashita, Makoto Tracing cyclic homology pairings under twisting of graded algebras. (English) Zbl 1458.19002 Lett. Math. Phys. 109, No. 7, 1625-1664 (2019). MSC: 19D55 46L80 46L55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Julg, Pierre How to prove the Baum-Connes conjecture for the groups \(S p(n, 1)\)? (English) Zbl 1422.19003 J. Geom. Phys. 141, 105-119 (2019). Reviewer: Iakovos Androulidakis (Athína) MSC: 19K56 58J22 53B35 × Cite Format Result Cite Review PDF Full Text: DOI
Brodzki, J.; Guentner, E.; Higson, N. A differential complex for CAT(0) cubical spaces. (English) Zbl 1414.46049 Adv. Math. 347, 1054-1111 (2019). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 58J20 20E08 58J10 20C07 19K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Emerson, Heath; Nica, Bogdan \(K\)-homological finiteness and hyperbolic groups. (English) Zbl 1415.46048 J. Reine Angew. Math. 745, 189-229 (2018). Reviewer: Christopher Wulff (Göttingen) MSC: 46L80 19K33 20F67 46L55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Guoqiang; Wang, Xianjin Fibred cofinitely-coarse embeddability of box families and proper isometric affine actions on uniformly convex Banach spaces. (English) Zbl 1410.46014 Isr. J. Math. 227, No. 2, 793-809 (2018). MSC: 46B85 20F65 43A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eckhardt, Caleb; Raum, Sven \({C}^{\ast}\)-superrigidity of 2-step nilpotent groups. (English) Zbl 1405.46045 Adv. Math. 338, 175-195 (2018). MSC: 46L35 46L05 20C07 20F18 22D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bárcenas Torres, Noé; Zeidler, Rudolf Positive scalar curvature and low-degree group homology. (English) Zbl 1395.58013 Ann. \(K\)-Theory 3, No. 3, 565-579 (2018). MSC: 58D27 58J22 19K33 19L10 19L47 55N91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buss, Alcides; Echterhoff, Siegfried; Willett, Rufus Exotic crossed products and the Baum-Connes conjecture. (English) Zbl 1400.19003 J. Reine Angew. Math. 740, 111-159 (2018). Reviewer: Ralf Meyer (Göttingen) MSC: 19K35 46L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Echterhoff, Siegfried; Li, Kang; Nest, Ryszard The orbit method for the Baum-Connes conjecture for algebraic groups over local function fields. (English) Zbl 1390.19008 J. Lie Theory 28, No. 2, 323-341 (2018). Reviewer: L. N. Vaserstein (University Park) MSC: 19K35 20G25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Pooya, Sanaz; Valette, Alain \(K\)-theory for the \(C^*\)-algebras of the solvable Baumslag-Solitar groups. (English) Zbl 1395.46054 Glasg. Math. J. 60, No. 2, 481-486 (2018). MSC: 46L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cortiñas, Guillermo; Tartaglia, Gisela Compact operators and algebraic \(K\)-theory for groups which act properly and isometrically on Hilbert space. (English) Zbl 1393.19002 J. Reine Angew. Math. 734, 265-292 (2018). Reviewer: Ralf Meyer (Göttingen) MSC: 19D50 46L80 19K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Martin, Alexandre; Steenbock, Markus A combination theorem for cubulation in small cancellation theory over free products. (Un theorème de combinaison pour les groupes cubulables en théorie de la petite simplification sur des produits libres.) (English. French summary) Zbl 1499.20107 Ann. Inst. Fourier 67, No. 4, 1613-1670 (2017). MSC: 20F65 20F67 20F06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Flores, Ramón; Pooya, Sanaz; Valette, Alain \(K\)-homology and \(K\)-theory for the lamplighter groups of finite groups. (English) Zbl 1409.46043 Proc. Lond. Math. Soc. (3) 115, No. 6, 1207-1226 (2017). Reviewer: Pere Ara (Bellaterra) MSC: 46L80 55R40 19K33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dadarlat, Marius; Pennig, Ulrich; Schneider, Andrew Deformations of wreath products. (English) Zbl 1383.46054 Bull. Lond. Math. Soc. 49, No. 1, 23-32 (2017). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dadarlat, Marius; Pennig, Ulrich Connective \(C^{\ast}\)-algebras. (English) Zbl 1377.46038 J. Funct. Anal. 272, No. 12, 4919-4943 (2017). Reviewer: Ralf Meyer (Göttingen) MSC: 46L05 46L85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dadarlat, Marius; Pennig, Ulrich Deformations of nilpotent groups and homotopy symmetric \(C^*\)-algebras. (English) Zbl 1359.46063 Math. Ann. 367, No. 1-2, 121-134 (2017). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 19K35 22D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barlak, Selçuk \(K\)-theory for the crossed products by certain actions of \(\mathbb Z^2\). (English) Zbl 1367.46060 J. Noncommut. Geom. 10, No. 4, 1559-1587 (2016). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 46L55 46L40 46L09 × Cite Format Result Cite Review PDF Full Text: DOI
Rahm, Alexander D. On the equivariant \(K\)-homology of \(\mathrm{PSL}_2\) of the imaginary quadratic integers. (Sur la \(K\)-homologie équivariante de \(\mathrm{PSL}_2\) sur les entiers quadratiques imaginaires.) (English. French summary) Zbl 1360.55007 Ann. Inst. Fourier 66, No. 4, 1667-1689 (2016). Reviewer: Haruo Minami (Nara) MSC: 55N91 19L47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dumitraşcu, Constantin Dorin On an intermediate bivariant \(K\)-theory for \(C^*\)-algebras. (English) Zbl 1353.46054 J. Noncommut. Geom. 10, No. 3, 1083-1130 (2016). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 19K35 46L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Benyin; Wang, Xianjin The equivariant coarse Baum-Connes conjecture for spaces which admit an equivariant coarse embedding into Hilbert space. (English) Zbl 1346.19008 J. Funct. Anal. 271, No. 4, 799-832 (2016). Reviewer: Marta Macho Stadler (Leioa) MSC: 19K56 58B34 46B85 46L85 46L80 × Cite Format Result Cite Review PDF Full Text: DOI
Ciobanu, Laura; Holt, Derek F.; Rees, Sarah Rapid decay and Baum-Connes for large type Artin groups. (English) Zbl 1383.20020 Trans. Am. Math. Soc. 368, No. 9, 6103-6129 (2016). MSC: 20F36 20F65 20E06 43A15 46L99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Li, Xin Semigroup \(C^*\)-algebras of \(ax+b\)-semigroups. (English) Zbl 1357.46049 Trans. Am. Math. Soc. 368, No. 6, 4417-4437 (2016). MSC: 46L05 11R04 13F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Knudby, Søren The weak Haagerup property. (English) Zbl 1332.22008 Trans. Am. Math. Soc. 368, No. 5, 3469-3508 (2016). MSC: 22D25 22D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Antonini, Paolo; Azzali, Sara; Skandalis, Georges Bivariant \(K\)-theory with \(\mathbb{R}/\mathbb{Z}\)-coefficients and rho classes of unitary representations. (English) Zbl 1352.46063 J. Funct. Anal. 270, No. 1, 447-481 (2016). MSC: 46L80 19K35 19K56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oyono-Oyono, Hervé; Yu, Guoliang On quantitative operator \(K\)-theory. (\(K\)-théorie quantitative pour les algèbres d’opérateurs.) (English. French summary) Zbl 1329.19009 Ann. Inst. Fourier 65, No. 2, 605-674 (2015). Reviewer: Ralf Meyer (Göttingen) MSC: 19K35 46L80 58J22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arzhantseva, Goulnara; Osajda, Damian Infinitely presented small cancellation groups have the Haagerup property. (English) Zbl 1362.20028 J. Topol. Anal. 7, No. 3, 389-406 (2015). MSC: 20F06 20F67 20F65 46B85 46L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haagerup, Søren; Haagerup, Uffe; Ramirez-Solano, Maria A computational approach to the Thompson group \(F\). (English) Zbl 1335.20042 Int. J. Algebra Comput. 25, No. 3, 381-432 (2015). Reviewer: Łukasz Garncarek (Warszawa) MSC: 20F65 43A07 22D25 46L05 20-04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caspers, Martijn; Skalski, Adam The Haagerup approximation property for von Neumann algebras via quantum Markov semigroups and Dirichlet forms. (English) Zbl 1330.46057 Commun. Math. Phys. 336, No. 3, 1637-1664 (2015). MSC: 46L10 46L57 46L53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cuntz, Joachim; Echterhoff, Siegfried; Li, Xin On the \(K\)-theory of the \(C^\ast\)-algebra generated by the left regular representation of an Ore semigroup. (English) Zbl 1329.46062 J. Eur. Math. Soc. (JEMS) 17, No. 3, 645-687 (2015). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 46L05 11R04 20M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lemeux, François Haagerup approximation property for quantum reflection groups. (English) Zbl 1330.46065 Proc. Am. Math. Soc. 143, No. 5, 2017-2031 (2015). MSC: 46L54 16T20 46L65 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosenberg, Jonathan Real Baum-Connes assembly and T-duality for torus orientifolds. (English) Zbl 1326.46054 J. Geom. Phys. 89, 24-31 (2015). MSC: 46L60 19K35 19L64 81T30 46L85 19L50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benameur, Moulay-Tahar; Roy, Indrava The Higson-Roe exact sequence and \(\ell^2\) eta invariants. (English) Zbl 1308.58012 J. Funct. Anal. 268, No. 4, 974-1031 (2015). MSC: 58J28 19K56 46L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xiaoman; Wang, Qin; Wang, Zhijie Fibred coarse embedding into non-positively curved manifolds and higher index problem. (English) Zbl 1306.53029 J. Funct. Anal. 267, No. 11, 4029-4065 (2014). Reviewer: Nicoleta Aldea (Brasov) MSC: 53C23 57R20 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Dadarlat, Marius Group quasi-representations and almost flat bundles. (English) Zbl 1296.46058 J. Noncommut. Geom. 8, No. 1, 163-178 (2014). MSC: 46L80 46L65 19K35 19K56 20F65 × Cite Format Result Cite Review PDF Full Text: DOI
Bartels, Arthur C.; Farrell, F. T.; Lück, Wolfgang The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups. (English) Zbl 1307.18012 J. Am. Math. Soc. 27, No. 2, 339-388 (2014). Reviewer: Daniel Kasprowski (Bonn) MSC: 18F25 19A31 19B28 19G24 22E40 57N99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv