Carrillo Rouse, P.; Wang, B. L.; Wang, H. Topological \(K\)-theory for discrete groups and index theory. (English) Zbl 07688646 Bull. Sci. Math. 185, Article ID 103262, 70 p. (2023). MSC: 20-XX 46Lxx PDFBibTeX XMLCite \textit{P. Carrillo Rouse} et al., Bull. Sci. Math. 185, Article ID 103262, 70 p. (2023; Zbl 07688646) Full Text: DOI arXiv
Spiegel, Daniel; Moreno, Juan; Qi, Marvin; Hermele, Michael; Beaudry, Agnès; Pflaum, Markus J. Continuous dependence on the initial data in the Kadison transitivity theorem and GNS construction. (English) Zbl 1509.46035 Rev. Math. Phys. 34, No. 9, Article ID 2250031, 84 p. (2022). MSC: 46L05 46L30 46N50 81P16 58B20 57R22 PDFBibTeX XMLCite \textit{D. Spiegel} et al., Rev. Math. Phys. 34, No. 9, Article ID 2250031, 84 p. (2022; Zbl 1509.46035) Full Text: DOI arXiv
Ferrari Ruffino, Fabio; Rocha Barriga, Juan Carlos Twisted differential \(K\)-characters and D-branes. (English) Zbl 1472.81192 Nucl. Phys., B 960, Article ID 115169, 72 p. (2020). MSC: 81T30 81T60 18G50 19L50 70S15 46M18 PDFBibTeX XMLCite \textit{F. Ferrari Ruffino} and \textit{J. C. Rocha Barriga}, Nucl. Phys., B 960, Article ID 115169, 72 p. (2020; Zbl 1472.81192) Full Text: DOI arXiv
O’Hara, Jun Regularization of Neumann and Weber formulae for inductance. (English) Zbl 1435.78016 J. Geom. Phys. 149, Article ID 103567, 12 p. (2020). MSC: 78A55 94C05 53C65 53C40 46T30 PDFBibTeX XMLCite \textit{J. O'Hara}, J. Geom. Phys. 149, Article ID 103567, 12 p. (2020; Zbl 1435.78016) Full Text: DOI arXiv
Hochs, Peter; Wang, Hang Orbital integrals and \(K\)-theory classes. (English) Zbl 1423.19013 Ann. \(K\)-Theory 4, No. 2, 185-209 (2019). Reviewer: Takahiro Sudo (Nishihara) MSC: 19K56 58J20 22E46 46L80 19K14 22D25 PDFBibTeX XMLCite \textit{P. Hochs} and \textit{H. Wang}, Ann. \(K\)-Theory 4, No. 2, 185--209 (2019; Zbl 1423.19013) Full Text: DOI arXiv
Monk, Andrew; Voigt, Christian Complex quantum groups and a deformation of the Baum-Connes assembly map. (English) Zbl 1472.46074 Trans. Am. Math. Soc. 371, No. 12, 8849-8877 (2019). MSC: 46L80 20G42 46L65 19K35 PDFBibTeX XMLCite \textit{A. Monk} and \textit{C. Voigt}, Trans. Am. Math. Soc. 371, No. 12, 8849--8877 (2019; Zbl 1472.46074) Full Text: DOI arXiv
Parzygnat, Arthur J. From observables and states to Hilbert space and back: a 2-categorical adjunction. (English) Zbl 1408.81017 Appl. Categ. Struct. 26, No. 6, 1123-1157 (2018). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 81R15 18D05 46L30 46L05 46L10 PDFBibTeX XMLCite \textit{A. J. Parzygnat}, Appl. Categ. Struct. 26, No. 6, 1123--1157 (2018; Zbl 1408.81017) Full Text: DOI arXiv
Ponge, Raphaël The cyclic homology of crossed-product algebras. II. (Homologie cycliques des algèbres produits-croisés, II.) (English. French summary) Zbl 1380.46055 C. R., Math., Acad. Sci. Paris 355, No. 6, 623-627 (2017). MSC: 46M20 46L87 58B34 58J20 19D55 PDFBibTeX XMLCite \textit{R. Ponge}, C. R., Math., Acad. Sci. Paris 355, No. 6, 623--627 (2017; Zbl 1380.46055) Full Text: DOI
Ponge, Raphaël The cyclic homology of crossed-product algebras. I. (L’homologie cyclique des algèbres produits-croisés, I.) (English. French summary) Zbl 1380.46054 C. R., Math., Acad. Sci. Paris 355, No. 6, 618-622 (2017). MSC: 46M20 46L87 58B34 58J20 19D55 PDFBibTeX XMLCite \textit{R. Ponge}, C. R., Math., Acad. Sci. Paris 355, No. 6, 618--622 (2017; Zbl 1380.46054) Full Text: DOI
Becker, Christian; Schenkel, Alexander; Szabo, Richard J. Differential cohomology and locally covariant quantum field theory. (English) Zbl 1360.81232 Rev. Math. Phys. 29, No. 1, Article ID 1750003, 42 p. (2017). Reviewer: Gabor Etesi (Budapest) MSC: 81T05 81T13 53C08 55N20 81T20 81T70 46T05 46L60 PDFBibTeX XMLCite \textit{C. Becker} et al., Rev. Math. Phys. 29, No. 1, Article ID 1750003, 42 p. (2017; Zbl 1360.81232) Full Text: DOI arXiv
Aizenbud, Avraham; Gourevitch, Dmitry; Krötz, Bernhard; Liu, Gang Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture. (English) Zbl 1347.22010 Math. Z. 283, No. 3-4, 979-992 (2016); erratum ibid 283, No. 3-4, 993-994 (2016). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 22E45 20G10 20G05 20G20 22E30 46F99 PDFBibTeX XMLCite \textit{A. Aizenbud} et al., Math. Z. 283, No. 3--4, 979--992 (2016; Zbl 1347.22010) Full Text: DOI arXiv
Nistor, Victor Analysis on singular spaces: Lie manifolds and operator algebras. (English) Zbl 1339.58015 J. Geom. Phys. 105, 75-101 (2016). MSC: 58J40 58H05 46L80 46L87 47L80 58-02 PDFBibTeX XMLCite \textit{V. Nistor}, J. Geom. Phys. 105, 75--101 (2016; Zbl 1339.58015) Full Text: DOI arXiv
Angel, Eitan Cyclic cocycles on twisted convolution algebras. (English) Zbl 1260.19003 Commun. Math. Phys. 317, No. 1, 157-203 (2013). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19L50 55N22 46L80 PDFBibTeX XMLCite \textit{E. Angel}, Commun. Math. Phys. 317, No. 1, 157--203 (2013; Zbl 1260.19003) Full Text: DOI arXiv
Noreldeen, Alaa Hassan On the homology theory of operator algebras. (English) Zbl 1261.46068 Int. J. Math. Math. Sci. 2012, Article ID 368527, 13 p. (2012). MSC: 46M20 46J05 PDFBibTeX XMLCite \textit{A. H. Noreldeen}, Int. J. Math. Math. Sci. 2012, Article ID 368527, 13 p. (2012; Zbl 1261.46068) Full Text: DOI
Savin, Anton Yu. On the index of nonlocal elliptic operators for compact Lie groups. (English) Zbl 1248.58013 Cent. Eur. J. Math. 9, No. 4, 833-850 (2011). Reviewer: Peter Haskell (Blacksburg) MSC: 58J20 46L87 19K56 58J40 PDFBibTeX XMLCite \textit{A. Yu. Savin}, Cent. Eur. J. Math. 9, No. 4, 833--850 (2011; Zbl 1248.58013) Full Text: DOI
Huef, Astrid an; Kumjian, Alex; Sims, Aidan A Dixmier-Douady theorem for Fell algebras. (English) Zbl 1251.46028 J. Funct. Anal. 260, No. 5, 1543-1581 (2011). Reviewer: Dana P. Williams (Hanover) MSC: 46L05 PDFBibTeX XMLCite \textit{A. a. Huef} et al., J. Funct. Anal. 260, No. 5, 1543--1581 (2011; Zbl 1251.46028) Full Text: DOI arXiv
Gomi, Kiyonori Twisted \(K\)-theory and finite-dimensional approximation. (English) Zbl 1214.19005 Commun. Math. Phys. 294, No. 3, 863-889 (2010). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19L50 58J50 46Lxx 46Mxx PDFBibTeX XMLCite \textit{K. Gomi}, Commun. Math. Phys. 294, No. 3, 863--889 (2010; Zbl 1214.19005) Full Text: DOI arXiv
Benameur, Moulay-Tahar; Heitsch, James L. The higher fixed point theorem for foliations. I: Holonomy invariant currents. (English) Zbl 1207.46063 J. Funct. Anal. 259, No. 1, 131-173 (2010). Reviewer: Igor V. Nikolaev (Ottawa) MSC: 46L85 58J20 58B34 19K56 PDFBibTeX XMLCite \textit{M.-T. Benameur} and \textit{J. L. Heitsch}, J. Funct. Anal. 259, No. 1, 131--173 (2010; Zbl 1207.46063) Full Text: DOI arXiv
Pflaum, M. J.; Posthuma, H.; Tang, X. Cyclic cocycles on deformation quantizations and higher index theorems. (English) Zbl 1190.53087 Adv. Math. 223, No. 6, 1958-2021 (2010). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 19D55 46L65 PDFBibTeX XMLCite \textit{M. J. Pflaum} et al., Adv. Math. 223, No. 6, 1958--2021 (2010; Zbl 1190.53087) Full Text: DOI arXiv
Tu, Jean-Louis; Xu, Ping The ring structure for equivariant twisted \(K\)-theory. (English) Zbl 1180.19004 J. Reine Angew. Math. 635, 97-148 (2009). Reviewer: Haruo Minami (Nara) MSC: 19L50 19L47 55N15 46L80 20L05 55N30 22E99 PDFBibTeX XMLCite \textit{J.-L. Tu} and \textit{P. Xu}, J. Reine Angew. Math. 635, 97--148 (2009; Zbl 1180.19004) Full Text: DOI arXiv
Daenzer, Calder A groupoid approach to noncommutative T-duality. (English) Zbl 1179.22007 Commun. Math. Phys. 288, No. 1, 55-96 (2009). Reviewer: Cornelia Vizman (Timişoara) MSC: 22D99 22A22 46L89 16D90 PDFBibTeX XMLCite \textit{C. Daenzer}, Commun. Math. Phys. 288, No. 1, 55--96 (2009; Zbl 1179.22007) Full Text: DOI arXiv
Kashiwara, Masaki; Schapira, Pierre Modules over deformation quantization algebroids: An overview. (English) Zbl 1196.53054 Lett. Math. Phys. 88, No. 1-3, 79-99 (2009). MSC: 53D55 46L65 32C38 PDFBibTeX XMLCite \textit{M. Kashiwara} and \textit{P. Schapira}, Lett. Math. Phys. 88, No. 1--3, 79--99 (2009; Zbl 1196.53054) Full Text: DOI
Kaminker, Jerome; Tang, Xiang Hopf algebroids and secondary characteristic classes. (English) Zbl 1173.46054 J. Noncommut. Geom. 3, No. 1, 1-25 (2009). Reviewer: Marta Macho Stadler (Leioa) MSC: 46L87 58H10 PDFBibTeX XMLCite \textit{J. Kaminker} and \textit{X. Tang}, J. Noncommut. Geom. 3, No. 1, 1--25 (2009; Zbl 1173.46054) Full Text: DOI arXiv Link
Kordyukov, Yuri A. Noncommutative geometry of foliations. (English) Zbl 1155.58004 J. \(K\)-Theory 2, No. 2, 219-327 (2008). Reviewer: Chun-Gil Park (Daejeon) MSC: 58B34 46L87 19K56 PDFBibTeX XMLCite \textit{Y. A. Kordyukov}, J. \(K\)-Theory 2, No. 2, 219--327 (2008; Zbl 1155.58004) Full Text: DOI arXiv
Ludkovsky, S. V. Topological transformation groups of manifolds over non-Archimedean fields, their representations, and quasi-invariant measures. I. (English. Russian original) Zbl 1194.46113 J. Math. Sci., New York 147, No. 3, 6703-6846 (2007); translation from Sovrem. Mat. Prilozh. 39 (2006). Reviewer: Cristina Pérez-García (Santander) MSC: 46S10 28C10 PDFBibTeX XMLCite \textit{S. V. Ludkovsky}, J. Math. Sci., New York 147, No. 3, 6703--6846 (2007; Zbl 1194.46113); translation from Sovrem. Mat. Prilozh. 39 (2006) Full Text: DOI
Pflaum, M. J.; Posthuma, H. B.; Tang, X. An algebraic index theorem for orbifolds. (English) Zbl 1119.58014 Adv. Math. 210, No. 1, 83-121 (2007). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 53D55 81S10 16E40 46L87 19K56 58H05 PDFBibTeX XMLCite \textit{M. J. Pflaum} et al., Adv. Math. 210, No. 1, 83--121 (2007; Zbl 1119.58014) Full Text: DOI arXiv
Tu, Jean-Louis; Xu, Ping Chern character for twisted \(K\)-theory of orbifolds. (English) Zbl 1113.19005 Adv. Math. 207, No. 2, 455-483 (2006). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19K35 46L80 PDFBibTeX XMLCite \textit{J.-L. Tu} and \textit{P. Xu}, Adv. Math. 207, No. 2, 455--483 (2006; Zbl 1113.19005) Full Text: DOI arXiv
Gorokhovsky, Alexander Bivariant Chern character and longitudinal index. (English) Zbl 1117.58012 J. Funct. Anal. 237, No. 1, 105-134 (2006). Reviewer: Wiesław Oledzki (Bialystok) MSC: 58J22 46L87 PDFBibTeX XMLCite \textit{A. Gorokhovsky}, J. Funct. Anal. 237, No. 1, 105--134 (2006; Zbl 1117.58012) Full Text: DOI arXiv
Mathai, Varghese; Stevenson, Danny On a generalised Connes-Hochschild-Kostant-Rosenberg theorem. (English) Zbl 1098.19002 Adv. Math. 200, No. 2, 303-335 (2006). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19K35 46L80 19D55 PDFBibTeX XMLCite \textit{V. Mathai} and \textit{D. Stevenson}, Adv. Math. 200, No. 2, 303--335 (2006; Zbl 1098.19002) Full Text: DOI arXiv
Carey, Richard W.; Pincus, Joel D. Steinberg symbols modulo the trace class, holonomy, and limit theorems for Toeplitz determinants. (English) Zbl 1138.47302 Trans. Am. Math. Soc. 358, No. 2, 509-551 (2006). MSC: 47B35 47A55 47A53 46L87 19C20 PDFBibTeX XMLCite \textit{R. W. Carey} and \textit{J. D. Pincus}, Trans. Am. Math. Soc. 358, No. 2, 509--551 (2006; Zbl 1138.47302) Full Text: DOI
Solleveld, Maarten Some Fréchet algebras for which the Chern character is an isomorphism. (English) Zbl 1113.19002 \(K\)-Theory 36, No. 3-4, 275-290 (2005). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19D55 19L10 22E50 46L80 PDFBibTeX XMLCite \textit{M. Solleveld}, \(K\)-Theory 36, No. 3--4, 275--290 (2005; Zbl 1113.19002) Full Text: DOI arXiv
Tu, Jean-Louis; Xu, Ping; Laurent-Gengoux, Camille Twisted \(K\)-theory of differentiable stacks. (English) Zbl 1069.19006 Ann. Sci. Éc. Norm. Supér. (4) 37, No. 6, 841-910 (2004). Reviewer: Keith Johnson (Halifax) MSC: 19K35 58J22 19K56 46L80 20L05 PDFBibTeX XMLCite \textit{J.-L. Tu} et al., Ann. Sci. Éc. Norm. Supér. (4) 37, No. 6, 841--910 (2004; Zbl 1069.19006) Full Text: DOI arXiv Numdam EuDML
Nistor, Victor; Troitsky, Evgenij An index for gauge-invariant operators and the Dixmier-Douady invariant. (English) Zbl 1030.46095 Trans. Am. Math. Soc. 356, No. 1, 185-218 (2004). MSC: 46L80 58J22 PDFBibTeX XMLCite \textit{V. Nistor} and \textit{E. Troitsky}, Trans. Am. Math. Soc. 356, No. 1, 185--218 (2004; Zbl 1030.46095) Full Text: DOI arXiv
Boggiatto, Paolo; Nicola, Fabio Non-commutative residues for anisotropic pseudo-differential operators in \(\mathbb R^n\). (English) Zbl 1037.35114 J. Funct. Anal. 203, No. 2, 305-320 (2003). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 35S05 47G30 46L89 PDFBibTeX XMLCite \textit{P. Boggiatto} and \textit{F. Nicola}, J. Funct. Anal. 203, No. 2, 305--320 (2003; Zbl 1037.35114) Full Text: DOI
Benameur, Moulay-Tahar On the Lefschetz problem in noncommutative geometry. (English) Zbl 1045.46045 Expo. Math. 21, No. 1, 1-31 (2003). MSC: 46L85 PDFBibTeX XMLCite \textit{M.-T. Benameur}, Expo. Math. 21, No. 1, 1--31 (2003; Zbl 1045.46045) Full Text: DOI
Guillermou, Stéphane Index of transversally elliptic \({\mathcal D}\)-modules. (English) Zbl 1011.32004 Ann. Sci. Éc. Norm. Supér. (4) 34, No. 2, 223-265 (2001). Reviewer: Alfred Aeppli (Minneapolis) MSC: 32C38 46M20 58J20 PDFBibTeX XMLCite \textit{S. Guillermou}, Ann. Sci. Éc. Norm. Supér. (4) 34, No. 2, 223--265 (2001; Zbl 1011.32004) Full Text: DOI Numdam EuDML
Mrčun, Janez The Hopf algebroids of functions on étale groupoids and their principal Morita equivalence. (English) Zbl 0986.16017 J. Pure Appl. Algebra 160, No. 2-3, 249-262 (2001); erratum ibid. 176, No. 2-3, 275-276 (2002). Reviewer: Martin D.Crossley (Swansea) MSC: 16W30 22A22 46L52 16D90 PDFBibTeX XMLCite \textit{J. Mrčun}, J. Pure Appl. Algebra 160, No. 2--3, 249--262 (2001; Zbl 0986.16017) Full Text: DOI
Ludkovsky, Sergey V. Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. I. (English) Zbl 0969.43002 Ann. Math. Blaise Pascal 7, No. 2, 19-53 (2000). Reviewer: Mihail I.Ursul (Oradea) MSC: 43A05 43A65 46S10 PDFBibTeX XMLCite \textit{S. V. Ludkovsky}, Ann. Math. Blaise Pascal 7, No. 2, 19--53 (2000; Zbl 0969.43002) Full Text: DOI Numdam EuDML
Carey, Richard; Pincus, Joel Joint torsion of Toeplitz operators with \(H^{\infty}\) symbols. (English) Zbl 0951.47030 Integral Equations Oper. Theory 33, No. 3, 273-304 (1999). Reviewer: Nikolaj L.Vasilevskij (México) MSC: 47B35 46L87 47B20 46L45 47A53 19K33 19D55 PDFBibTeX XMLCite \textit{R. Carey} and \textit{J. Pincus}, Integral Equations Oper. Theory 33, No. 3, 273--304 (1999; Zbl 0951.47030) Full Text: DOI
Gong, Donggeng; Liu, Kefeng Rigidity of higher elliptic genera. (English) Zbl 0861.58033 Ann. Global Anal. Geom. 14, No. 3, 219-236 (1996). Reviewer: H.Schröder (Dortmund) MSC: 58J20 58J26 19K56 46L80 57R91 PDFBibTeX XMLCite \textit{D. Gong} and \textit{K. Liu}, Ann. Global Anal. Geom. 14, No. 3, 219--236 (1996; Zbl 0861.58033) Full Text: DOI
Lychagina, O. V. Poisson structures associated with algebras of differential operators. (English. Russian original) Zbl 0859.47034 Math. Notes 58, No. 2, 850-860 (1995); translation from Mat. Zametki 58, No. 2, 256-271 (1995). Reviewer: M.Farkas (Budapest) MSC: 47E05 16E40 47L10 55T05 46M20 PDFBibTeX XMLCite \textit{O. V. Lychagina}, Math. Notes 58, No. 2, 850--860 (1995; Zbl 0859.47034); translation from Mat. Zametki 58, No. 2, 256--271 (1995) Full Text: DOI
Nistor, Victor Cyclic cohomology of crossed products by algebraic groups. (English) Zbl 0799.46078 Invent. Math. 112, No. 3, 615-638 (1993). Reviewer: S.Sankaran (London) MSC: 46L55 46L80 46M20 PDFBibTeX XMLCite \textit{V. Nistor}, Invent. Math. 112, No. 3, 615--638 (1993; Zbl 0799.46078) Full Text: DOI EuDML
Wodzicki, Mariusz Cyclic homology of differential operators. (English) Zbl 0635.18010 Duke Math. J. 54, 641-647 (1987). Reviewer: K.Lamotke MSC: 18G40 46M20 58A12 14F40 55N35 PDFBibTeX XMLCite \textit{M. Wodzicki}, Duke Math. J. 54, 641--647 (1987; Zbl 0635.18010) Full Text: DOI
Brylinski, Jean-Luc Cyclic homology and equivariant theories. (English) Zbl 0625.55003 Ann. Inst. Fourier 37, No. 4, 15-28 (1987). MSC: 55N91 57S15 46L80 16E40 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Ann. Inst. Fourier 37, No. 4, 15--28 (1987; Zbl 0625.55003) Full Text: DOI Numdam EuDML