Fima, Pierre; Troupel, Arthur Operator algebras of free wreath products. (English) Zbl 07823121 Adv. Math. 441, Article ID 109546, 53 p. (2024). MSC: 46L67 46L10 46L80 PDFBibTeX XMLCite \textit{P. Fima} and \textit{A. Troupel}, Adv. Math. 441, Article ID 109546, 53 p. (2024; Zbl 07823121) Full Text: DOI arXiv
Cipriani, Fabio E. G. The emergence of noncommutative potential theory. (English) Zbl 07819345 Hilbert, Astrid (ed.) et al., Quantum and stochastic mathematical physics. Sergio Albeverio, adventures of a mathematician, Verona, Italy, March 25–29, 2019. Cham: Springer. Springer Proc. Math. Stat. 377, 41-106 (2023). MSC: 46L89 31C25 46L10 60J45 81R15 PDFBibTeX XMLCite \textit{F. E. G. Cipriani}, Springer Proc. Math. Stat. 377, 41--106 (2023; Zbl 07819345) Full Text: DOI arXiv
Caspers, Martijn; Klisse, Mario; Skalski, Adam; Vos, Gerrit; Wasilewski, Mateusz Relative Haagerup property for arbitrary von Neumann algebras. (English) Zbl 1519.46043 Adv. Math. 421, Article ID 109017, 61 p. (2023). Reviewer: Qing Meng (Qufu) MSC: 46L10 PDFBibTeX XMLCite \textit{M. Caspers} et al., Adv. Math. 421, Article ID 109017, 61 p. (2023; Zbl 1519.46043) Full Text: DOI arXiv
Voigt, Christian Infinite quantum permutations. (English) Zbl 1517.46052 Adv. Math. 415, Article ID 108887, 37 p. (2023). MSC: 46L67 05A05 20B27 81P45 PDFBibTeX XMLCite \textit{C. Voigt}, Adv. Math. 415, Article ID 108887, 37 p. (2023; Zbl 1517.46052) Full Text: DOI arXiv
Chirvasitu, Alexandru Quantum relative modular functions. (English) Zbl 1506.46054 J. Math. Anal. Appl. 517, No. 1, Article ID 126606, 22 p. (2023). MSC: 46L67 17B37 22D55 PDFBibTeX XMLCite \textit{A. Chirvasitu}, J. Math. Anal. Appl. 517, No. 1, Article ID 126606, 22 p. (2023; Zbl 1506.46054) Full Text: DOI arXiv
Kučerovský, Dan Z. Co-actions, isometries, and isomorphism classes of Hilbert modules. (English) Zbl 1520.46030 Adv. Oper. Theory 6, No. 1, Paper No. 16, 14 p. (2021). MSC: 46L08 46L80 46L67 PDFBibTeX XMLCite \textit{D. Z. Kučerovský}, Adv. Oper. Theory 6, No. 1, Paper No. 16, 14 p. (2021; Zbl 1520.46030) Full Text: DOI arXiv
Bhattacharya, Angshuman; Brannan, Michael; Chirvasitu, Alexandru; Wang, Shuzhou Property (T), property (F) and residual finiteness for discrete quantum groups. (English) Zbl 1511.46046 J. Noncommut. Geom. 14, No. 2, 567-589 (2020). MSC: 46L67 20G42 46L52 46L89 PDFBibTeX XMLCite \textit{A. Bhattacharya} et al., J. Noncommut. Geom. 14, No. 2, 567--589 (2020; Zbl 1511.46046) Full Text: DOI arXiv
Brannan, Michael; Chirvasitu, Alexandru; Viselter, Ami Actions, quotients and lattices of locally compact quantum groups. (English) Zbl 1466.46064 Doc. Math. 25, 2553-2582 (2020). Reviewer: Ralf Meyer (Göttingen) MSC: 46L67 20G42 46L65 46L30 17B37 PDFBibTeX XMLCite \textit{M. Brannan} et al., Doc. Math. 25, 2553--2582 (2020; Zbl 1466.46064) Full Text: DOI arXiv
Sunder, V. S. Operator algebras in India in the past decade. (English) Zbl 1444.46051 Indian J. Pure Appl. Math. 50, No. 3, 801-834 (2019); erratum ibid. 50, No. 4, 1147-1151 (2019). MSC: 46L99 46-03 01A32 01A61 PDFBibTeX XMLCite \textit{V. S. Sunder}, Indian J. Pure Appl. Math. 50, No. 3, 801--834 (2019; Zbl 1444.46051) Full Text: DOI
Das, Biswarup; Daws, Matthew; Salmi, Pekka Admissibility conjecture and Kazhdan’s property (T) for quantum groups. (English) Zbl 1412.22014 J. Funct. Anal. 276, No. 11, 3484-3510 (2019). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 22D55 46L65 17B37 20G42 PDFBibTeX XMLCite \textit{B. Das} et al., J. Funct. Anal. 276, No. 11, 3484--3510 (2019; Zbl 1412.22014) Full Text: DOI arXiv Link
Skalski, Adam; Viselter, Ami Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms. (English. French summary) Zbl 1420.46049 J. Math. Pures Appl. (9) 124, 59-105 (2019). MSC: 46L65 46L30 46L53 46L57 47B38 47D07 PDFBibTeX XMLCite \textit{A. Skalski} and \textit{A. Viselter}, J. Math. Pures Appl. (9) 124, 59--105 (2019; Zbl 1420.46049) Full Text: DOI arXiv
Vaes, Stefaan; Valvekens, Matthias Property (T) discrete quantum groups and subfactors with triangle presentations. (English) Zbl 1441.20034 Adv. Math. 345, 382-428 (2019). Reviewer: Sven Raum (Stockholm) MSC: 20G42 46L37 46L67 18M05 51E24 PDFBibTeX XMLCite \textit{S. Vaes} and \textit{M. Valvekens}, Adv. Math. 345, 382--428 (2019; Zbl 1441.20034) Full Text: DOI arXiv Link
De Commer, Kenny; Kasprzak, Paweł; Skalski, Adam; Sołtan, Piotr M. Quantum actions on discrete quantum spaces and a generalization of Clifford’s theory of representations. (English) Zbl 1409.46045 Isr. J. Math. 226, No. 1, 475-503 (2018). Reviewer: Simeng Wang (Saarbrücken) MSC: 46L89 20G42 20C99 PDFBibTeX XMLCite \textit{K. De Commer} et al., Isr. J. Math. 226, No. 1, 475--503 (2018; Zbl 1409.46045) Full Text: DOI arXiv
Arano, Yuki Unitary spherical representations of Drinfeld doubles. (English) Zbl 1396.81117 J. Reine Angew. Math. 742, 157-186 (2018). MSC: 81R50 17B37 22D10 PDFBibTeX XMLCite \textit{Y. Arano}, J. Reine Angew. Math. 742, 157--186 (2018; Zbl 1396.81117) Full Text: DOI arXiv
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
Kučerovský, Dan Cuntz semigroups of compact-type Hopf C\(^\ast\)-algebras. (English) Zbl 1422.46004 Axioms 6, No. 1, Paper No. 1, 21 p. (2017). MSC: 46L05 46L35 PDFBibTeX XMLCite \textit{D. Kučerovský}, Axioms 6, No. 1, Paper No. 1, 21 p. (2017; Zbl 1422.46004) Full Text: DOI arXiv
Kyed, David; Raum, Sven On the \({\ell}^2\)-Betti numbers of universal quantum groups. (English) Zbl 1427.16026 Math. Ann. 369, No. 3-4, 957-975 (2017). MSC: 16T20 16T05 46L52 PDFBibTeX XMLCite \textit{D. Kyed} and \textit{S. Raum}, Math. Ann. 369, No. 3--4, 957--975 (2017; Zbl 1427.16026) Full Text: DOI arXiv
Viselter, Ami Weak mixing for locally compact quantum groups. (English) Zbl 1377.37009 Ergodic Theory Dyn. Syst. 37, No. 5, 1657-1680 (2017). MSC: 37A25 22D40 47A35 37A15 20G42 PDFBibTeX XMLCite \textit{A. Viselter}, Ergodic Theory Dyn. Syst. 37, No. 5, 1657--1680 (2017; Zbl 1377.37009) Full Text: DOI arXiv Link
Jones, Corey; Penneys, David Operator algebras in rigid \(\mathrm{C}^\ast\)-tensor categories. (English) Zbl 1397.46044 Commun. Math. Phys. 355, No. 3, 1121-1188 (2017). MSC: 46L10 18D10 PDFBibTeX XMLCite \textit{C. Jones} and \textit{D. Penneys}, Commun. Math. Phys. 355, No. 3, 1121--1188 (2017; Zbl 1397.46044) Full Text: DOI arXiv
Daws, Matthew; Skalski, Adam; Viselter, Ami Around property (T) for quantum groups. (English) Zbl 1371.46060 Commun. Math. Phys. 353, No. 1, 69-118 (2017). Reviewer: Dan Kučerovský (Fredericton) MSC: 46L89 17B37 PDFBibTeX XMLCite \textit{M. Daws} et al., Commun. Math. Phys. 353, No. 1, 69--118 (2017; Zbl 1371.46060) Full Text: DOI arXiv
Caspers, Martijn; Fima, Pierre Graph products of operator algebras. (English) Zbl 1373.46055 J. Noncommut. Geom. 11, No. 1, 367-411 (2017). MSC: 46L09 46L10 20G42 PDFBibTeX XMLCite \textit{M. Caspers} and \textit{P. Fima}, J. Noncommut. Geom. 11, No. 1, 367--411 (2017; Zbl 1373.46055) Full Text: DOI arXiv
Kalantar, Mehrdad; Kasprzak, Paweł; Skalski, Adam Open quantum subgroups of locally compact quantum groups. (English) Zbl 1360.46063 Adv. Math. 303, 322-359 (2016). Reviewer: Ami Viselter (Haifa) MSC: 46L89 22D25 PDFBibTeX XMLCite \textit{M. Kalantar} et al., Adv. Math. 303, 322--359 (2016; Zbl 1360.46063) Full Text: DOI arXiv
Freslon, Amaury Permanence of approximation properties for discrete quantum groups. (Permanence des propriétés d’approximation pour les groupes quantiques discrets.) (English. French summary) Zbl 1367.46059 Ann. Inst. Fourier 65, No. 4, 1437-1467 (2015). Reviewer: Pierre Fima (Paris) MSC: 46L65 20G42 17B37 PDFBibTeX XMLCite \textit{A. Freslon}, Ann. Inst. Fourier 65, No. 4, 1437--1467 (2015; Zbl 1367.46059) Full Text: DOI arXiv
Chen, Xiao; Lau, Anthony To-Ming; Ng, Chi-Keung A property for locally convex \(^*\)-algebras related to property \((T)\) and character amenability. (English) Zbl 1330.22012 Stud. Math. 227, No. 3, 259-286 (2015). Reviewer: Sh. A. Ayupov (Tashkent) MSC: 22D15 22D20 46K10 22D10 22D12 16E40 43A07 46H15 PDFBibTeX XMLCite \textit{X. Chen} et al., Stud. Math. 227, No. 3, 259--286 (2015; Zbl 1330.22012) Full Text: DOI arXiv
Chen, Xiao; Ng, Chi-Keung Property \(T\) for locally compact quantum groups. (English) Zbl 1321.46075 Int. J. Math. 26, No. 3, Article ID 1550024, 13 p. (2015). Reviewer: Ralf Meyer (Göttingen) MSC: 46L89 20G42 22D25 PDFBibTeX XMLCite \textit{X. Chen} and \textit{C.-K. Ng}, Int. J. Math. 26, No. 3, Article ID 1550024, 13 p. (2015; Zbl 1321.46075) 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 PDFBibTeX XMLCite \textit{F. Lemeux}, Proc. Am. Math. Soc. 143, No. 5, 2017--2031 (2015; Zbl 1330.46065) Full Text: DOI arXiv
Patri, Issan Normal subgroups, center and inner automorphisms of compact quantum groups. (English) Zbl 1286.46077 Int. J. Math. 24, No. 9, Article ID 1350071, 37 p. (2013). Reviewer: Madathum K. Viswanath (Chennai) MSC: 46L89 20G42 17B37 PDFBibTeX XMLCite \textit{I. Patri}, Int. J. Math. 24, No. 9, Article ID 1350071, 37 p. (2013; Zbl 1286.46077) Full Text: DOI arXiv
Ioana, Adrian; Shalom, Yehuda Rigidity for equivalence relations on homogeneous spaces. (English) Zbl 1418.37007 Groups Geom. Dyn. 7, No. 2, 403-417 (2013). MSC: 37A20 37A17 46L36 46L55 PDFBibTeX XMLCite \textit{A. Ioana} and \textit{Y. Shalom}, Groups Geom. Dyn. 7, No. 2, 403--417 (2013; Zbl 1418.37007) Full Text: DOI arXiv
Kyed, David; Sołtan, Piotr M. Property (T) and exotic quantum group norms. (English) Zbl 1277.46041 J. Noncommut. Geom. 6, No. 4, 773-800 (2012). Reviewer: Igor V. Nikolaev (Southbridge) MSC: 46L89 22D25 46L65 17B37 PDFBibTeX XMLCite \textit{D. Kyed} and \textit{P. M. Sołtan}, J. Noncommut. Geom. 6, No. 4, 773--800 (2012; Zbl 1277.46041) Full Text: DOI arXiv
Kyed, David A cohomological description of property (T) for quantum groups. (English) Zbl 1246.17016 J. Funct. Anal. 261, No. 6, 1469-1493 (2011). Reviewer: Benoît Collins (Ottawa) MSC: 17B37 46L89 PDFBibTeX XMLCite \textit{D. Kyed}, J. Funct. Anal. 261, No. 6, 1469--1493 (2011; Zbl 1246.17016) Full Text: DOI arXiv