Ewert, Eske Pseudo-differential extension for graded nilpotent Lie groups. (English) Zbl 07787218 Doc. Math. 28, No. 6, 1323-1379 (2023). MSC: 47G30 22D25 46L99 19K99 22E25 35R03 PDFBibTeX XMLCite \textit{E. Ewert}, Doc. Math. 28, No. 6, 1323--1379 (2023; Zbl 07787218) Full Text: DOI arXiv
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
Ewert, Eske Pseudodifferential operators on filtered manifolds as generalized fixed points. (English) Zbl 1511.58011 J. Noncommut. Geom. 17, No. 1, 333-383 (2023). MSC: 58J40 35R03 19K56 22D25 PDFBibTeX XMLCite \textit{E. Ewert}, J. Noncommut. Geom. 17, No. 1, 333--383 (2023; Zbl 1511.58011) Full Text: DOI arXiv
Zenobi, Vito Felice Interior Kasparov products for \(\varrho\)-classes on Riemannian foliated bundles. (English) Zbl 1510.53027 J. Funct. Anal. 284, No. 9, Article ID 109863, 35 p. (2023). MSC: 53C12 19K35 22A22 PDFBibTeX XMLCite \textit{V. F. Zenobi}, J. Funct. Anal. 284, No. 9, Article ID 109863, 35 p. (2023; Zbl 1510.53027) Full Text: DOI arXiv
Connes, Alain (ed.); Nest, Ryszard (ed.); Nikolaus, Thomas (ed.); Yu, Guoliang (ed.) Non-commutative geometry and cyclic homology. Abstracts from the workshop held July 31 – August 6, 2022. (English) Zbl 1520.00025 Oberwolfach Rep. 19, No. 3, 1987-2058 (2022). MSC: 00B05 00B25 46-06 46L87 58B34 14A22 19D55 81T75 PDFBibTeX XMLCite \textit{A. Connes} (ed.) et al., Oberwolfach Rep. 19, No. 3, 1987--2058 (2022; Zbl 1520.00025) Full Text: DOI
Holkar, Rohit Dilip The bicategory of topological correspondences. (English) Zbl 1527.22011 Theory Appl. Categ. 38, 843-897 (2022). MSC: 22D25 22A22 18N10 46L08 46L89 PDFBibTeX XMLCite \textit{R. D. Holkar}, Theory Appl. Categ. 38, 843--897 (2022; Zbl 1527.22011) Full Text: arXiv Link
Del Hoyo, M.; De Melo, M. Geodesics on Riemannian stacks. (English) Zbl 1505.53056 Transform. Groups 27, No. 2, 403-427 (2022). Reviewer: Adriana Nicolae (Cluj-Napoca) MSC: 53C22 22A22 53C12 57R30 53D17 14A20 PDFBibTeX XMLCite \textit{M. Del Hoyo} and \textit{M. De Melo}, Transform. Groups 27, No. 2, 403--427 (2022; Zbl 1505.53056) Full Text: DOI arXiv
Zenobi, Vito Felice The adiabatic groupoid and the Higson-Roe exact sequence. (English) Zbl 1511.19005 J. Noncommut. Geom. 15, No. 3, 797-827 (2021). MSC: 19K56 58H05 58B34 46L80 PDFBibTeX XMLCite \textit{V. F. Zenobi}, J. Noncommut. Geom. 15, No. 3, 797--827 (2021; Zbl 1511.19005) Full Text: DOI arXiv
Katzarkov, Ludmil; Lupercio, Ernesto; Meersseman, Laurent; Verjovsky, Alberto Quantum (non-commutative) toric geometry: foundations. (English) Zbl 1518.14004 Adv. Math. 391, Article ID 107945, 110 p. (2021). MSC: 14A22 14M25 58B34 81S10 PDFBibTeX XMLCite \textit{L. Katzarkov} et al., Adv. Math. 391, Article ID 107945, 110 p. (2021; Zbl 1518.14004) Full Text: DOI arXiv
Quijano, Juan Pablo; Resende, Pedro Functoriality of groupoid quantales. II. (English) Zbl 1468.18008 Appl. Categ. Struct. 29, No. 4, 629-670 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F15 18F20 18F70 18F75 22A22 55R10 PDFBibTeX XMLCite \textit{J. P. Quijano} and \textit{P. Resende}, Appl. Categ. Struct. 29, No. 4, 629--670 (2021; Zbl 1468.18008) Full Text: DOI arXiv
Mohsen, Omar On the deformation groupoid of the inhomogeneous pseudo-differential calculus. (English) Zbl 1469.22001 Bull. Lond. Math. Soc. 53, No. 2, 575-592 (2021). Reviewer: Watchareepan Atiponrat (Chiang Mai) MSC: 22A22 35S05 58H05 58J40 47G30 PDFBibTeX XMLCite \textit{O. Mohsen}, Bull. Lond. Math. Soc. 53, No. 2, 575--592 (2021; Zbl 1469.22001) Full Text: DOI arXiv
Baldare, Alexandre; Benameur, Moulay-Tahar The index of leafwise \(G\)-transversally elliptic operators on foliations. (English) Zbl 1461.19003 J. Geom. Phys. 163, Article ID 104128, 34 p. (2021). Reviewer: Adnane Elmrabty (Guelmim) MSC: 19K35 19K56 19L47 58B34 PDFBibTeX XMLCite \textit{A. Baldare} and \textit{M.-T. Benameur}, J. Geom. Phys. 163, Article ID 104128, 34 p. (2021; Zbl 1461.19003) Full Text: DOI arXiv
Baldare, Alexandre The index of \(G\)-transversally elliptic families. II. (English) Zbl 1466.19008 J. Noncommut. Geom. 14, No. 3, 1171-1207 (2020). Reviewer: Adnane Elmrabty (Guelmim) MSC: 19K56 19L47 19L10 19M05 55N25 PDFBibTeX XMLCite \textit{A. Baldare}, J. Noncommut. Geom. 14, No. 3, 1171--1207 (2020; Zbl 1466.19008) Full Text: DOI arXiv
Baldare, Alexandre The index of \(G\)-transversally elliptic families. I. (English) Zbl 1466.19007 J. Noncommut. Geom. 14, No. 3, 1129-1169 (2020). Reviewer: Adnane Elmrabty (Guelmim) MSC: 19K35 19K56 19L47 PDFBibTeX XMLCite \textit{A. Baldare}, J. Noncommut. Geom. 14, No. 3, 1129--1169 (2020; Zbl 1466.19007) Full Text: DOI arXiv
Kaad, Jens; van Suijlekom, Walter D. Factorization of Dirac operators on almost-regular fibrations of \(\mathrm{spin}^c\) manifolds. (English) Zbl 1451.19018 Doc. Math. 25, 2049-2084 (2020). Reviewer: Iakovos Androulidakis (Athína) MSC: 19K35 53C27 58B34 PDFBibTeX XMLCite \textit{J. Kaad} and \textit{W. D. van Suijlekom}, Doc. Math. 25, 2049--2084 (2020; Zbl 1451.19018) 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 PDFBibTeX XMLCite \textit{H. Emerson}, J. Geom. Phys. 148, Article ID 103537, 37 p. (2020; Zbl 1443.58016) Full Text: DOI arXiv
Bischoff, Francis; Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard Deformation spaces and normal forms around transversals. (English) Zbl 1434.53029 Compos. Math. 156, No. 4, 697-732 (2020). Reviewer: Iakovos Androulidakis (Athína) MSC: 53C15 53D17 53D18 PDFBibTeX XMLCite \textit{F. Bischoff} et al., Compos. Math. 156, No. 4, 697--732 (2020; Zbl 1434.53029) Full Text: DOI arXiv
Gorokhovsky, Alexander; van Erp, Erik Index theory and noncommutative geometry: a survey. (English) Zbl 1443.58007 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. 421-462 (2019). Reviewer: Iakovos Androulidakis (Athína) MSC: 58B34 58-02 58J20 PDFBibTeX XMLCite \textit{A. Gorokhovsky} and \textit{E. van Erp}, in: 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. 421--462 (2019; Zbl 1443.58007) Full Text: DOI arXiv
Debord, Claire; Skandalis, Georges Lie groupoids, pseudodifferential calculus, and index theory. (English) Zbl 1442.58006 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. 245-289 (2019). Reviewer: Watchareepan Atiponrat (Chiang Mai) MSC: 58B34 22A22 PDFBibTeX XMLCite \textit{C. Debord} and \textit{G. Skandalis}, in: 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. 245--289 (2019; Zbl 1442.58006) Full Text: DOI arXiv
Androulidakis, Iakovos; Skandalis, Georges A Baum-Connes conjecture for singular foliations. (English) Zbl 1437.19002 Ann. \(K\)-Theory 4, No. 4, 561-620 (2019). Reviewer: Ralf Meyer (Göttingen) MSC: 19K35 46L87 19K56 58J22 22A22 53C12 PDFBibTeX XMLCite \textit{I. Androulidakis} and \textit{G. Skandalis}, Ann. \(K\)-Theory 4, No. 4, 561--620 (2019; Zbl 1437.19002) Full Text: DOI arXiv
Mohsen, Omar Chern-Simons invariants in KK-theory. (English) Zbl 1425.58011 J. Funct. Anal. 277, No. 11, Article ID 108253, 17 p. (2019). MSC: 58J28 PDFBibTeX XMLCite \textit{O. Mohsen}, J. Funct. Anal. 277, No. 11, Article ID 108253, 17 p. (2019; Zbl 1425.58011) Full Text: DOI arXiv
Côme, Rémi The Fredholm property for groupoids is a local property. (English) Zbl 1430.58020 Result. Math. 74, No. 4, Paper No. 160, 33 p. (2019). Reviewer: Marta Macho Stadler (Leioa) MSC: 58J40 58H05 46L05 47L80 PDFBibTeX XMLCite \textit{R. Côme}, Result. Math. 74, No. 4, Paper No. 160, 33 p. (2019; Zbl 1430.58020) Full Text: DOI arXiv
Piazza, Paolo; Zenobi, Vito Felice Singular spaces, groupoids and metrics of positive scalar curvature. (English) Zbl 1430.58013 J. Geom. Phys. 137, 87-123 (2019). Reviewer: Dorin Andrica (Riyadh) MSC: 58H05 46L80 22A22 19K56 PDFBibTeX XMLCite \textit{P. Piazza} and \textit{V. F. Zenobi}, J. Geom. Phys. 137, 87--123 (2019; Zbl 1430.58013) Full Text: DOI arXiv
Zenobi, Vito Felice Adiabatic groupoid and secondary invariants in K-theory. (English) Zbl 1419.22003 Adv. Math. 347, 940-1001 (2019). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 22A22 46L80 19K56 PDFBibTeX XMLCite \textit{V. F. Zenobi}, Adv. Math. 347, 940--1001 (2019; Zbl 1419.22003) Full Text: DOI arXiv
Kaad, Jens; van Suijlekom, Walter D. Riemannian submersions and factorization of Dirac operators. (English) Zbl 1405.19002 J. Noncommut. Geom. 12, No. 3, 1133-1159 (2018). Reviewer: Christopher Wulff (Göttingen) MSC: 19K35 46L87 53C27 PDFBibTeX XMLCite \textit{J. Kaad} and \textit{W. D. van Suijlekom}, J. Noncommut. Geom. 12, No. 3, 1133--1159 (2018; Zbl 1405.19002) Full Text: DOI arXiv
Tang, Xiang; Willett, Rufus; Yao, Yi-Jun Roe \(C^*\)-algebra for groupoids and generalized Lichnerowicz vanishing theorem for foliated manifolds. (English) Zbl 1402.19007 Math. Z. 290, No. 3-4, 1309-1338 (2018). Reviewer: Igor V. Nikolaev (New York) MSC: 19K56 58J22 46L80 PDFBibTeX XMLCite \textit{X. Tang} et al., Math. Z. 290, No. 3--4, 1309--1338 (2018; Zbl 1402.19007) Full Text: DOI arXiv
Bunk, Severin; Sämann, Christian; Szabo, Richard J. The 2-Hilbert space of a prequantum bundle gerbe. (English) Zbl 1478.81021 Rev. Math. Phys. 30, No. 1, Article ID 1850001, 101 p. (2018). Reviewer: Michael McBreen (Scarsdale) MSC: 81S10 18F99 53D50 PDFBibTeX XMLCite \textit{S. Bunk} et al., Rev. Math. Phys. 30, No. 1, Article ID 1850001, 101 p. (2018; Zbl 1478.81021) Full Text: DOI arXiv
Townsend, Christopher Hilsum-Skandalis maps as Frobenius adjunctions with application to geometric morphisms. (English) Zbl 1376.18003 Tbil. Math. J. 10, No. 3, 83-119 (2017). MSC: 18D15 58H05 PDFBibTeX XMLCite \textit{C. Townsend}, Tbil. Math. J. 10, No. 3, 83--119 (2017; Zbl 1376.18003) Full Text: DOI arXiv
Bohlen, Karsten Boutet de Monvel operators on Lie manifolds with boundary. (English) Zbl 1365.58015 Adv. Math. 312, 234-285 (2017). MSC: 58J40 58J32 58H05 PDFBibTeX XMLCite \textit{K. Bohlen}, Adv. Math. 312, 234--285 (2017; Zbl 1365.58015) Full Text: DOI arXiv
Bárcenas, Noé; Carrillo Rouse, Paulo; Velásquez, Mario Multiplicative structures and the twisted Baum-Connes assembly map. (English) Zbl 1360.19010 Trans. Am. Math. Soc. 369, No. 7, 5241-5269 (2017). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19K56 19L50 46L80 PDFBibTeX XMLCite \textit{N. Bárcenas} et al., Trans. Am. Math. Soc. 369, No. 7, 5241--5269 (2017; Zbl 1360.19010) Full Text: DOI arXiv
Wulff, Christopher Ring and module structures on \(K\)-theory of leaf spaces and their application to longitudinal index theory. (English) Zbl 1371.19002 J. Topol. 9, No. 4, 1074-1108 (2016). MSC: 19K56 46L80 46L87 57R30 58J22 PDFBibTeX XMLCite \textit{C. Wulff}, J. Topol. 9, No. 4, 1074--1108 (2016; Zbl 1371.19002) Full Text: DOI arXiv
Kasparov, Gennadi Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory. (English) Zbl 1358.19001 J. Noncommut. Geom. 10, No. 4, 1303-1378 (2016). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19K56 58J20 19L47 19K35 PDFBibTeX XMLCite \textit{G. Kasparov}, J. Noncommut. Geom. 10, No. 4, 1303--1378 (2016; Zbl 1358.19001) Full Text: DOI
Kubota, Yosuke Notes on twisted equivariant \(K\)-theory for \(C^\ast\)-algebras. (English) Zbl 1347.19001 Int. J. Math. 27, No. 6, Article ID 1650058, 28 p. (2016). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19L50 19K35 19L47 81R60 PDFBibTeX XMLCite \textit{Y. Kubota}, Int. J. Math. 27, No. 6, Article ID 1650058, 28 p. (2016; Zbl 1347.19001) Full Text: DOI arXiv
Debord, Claire; Skandalis, Georges Pseudodifferential extensions and adiabatic deformation of smooth groupoid actions. (English) Zbl 1327.58021 Bull. Sci. Math. 139, No. 7, 750-776 (2015). MSC: 58H05 46L89 58J22 PDFBibTeX XMLCite \textit{C. Debord} and \textit{G. Skandalis}, Bull. Sci. Math. 139, No. 7, 750--776 (2015; Zbl 1327.58021) Full Text: DOI arXiv
Resende, Pedro Functoriality of groupoid quantales. I. (English) Zbl 1343.06007 J. Pure Appl. Algebra 219, No. 8, 3089-3109 (2015). MSC: 06D22 06F07 18D05 18B40 22A22 20L05 PDFBibTeX XMLCite \textit{P. Resende}, J. Pure Appl. Algebra 219, No. 8, 3089--3109 (2015; Zbl 1343.06007) Full Text: DOI arXiv
Ganter, Nora The elliptic Weyl character formula. (English) Zbl 1300.55008 Compos. Math. 150, No. 7, 1196-1234 (2014). Reviewer: Haruo Minami (Nara) MSC: 55N34 22E67 55N91 19L47 PDFBibTeX XMLCite \textit{N. Ganter}, Compos. Math. 150, No. 7, 1196--1234 (2014; Zbl 1300.55008) Full Text: DOI arXiv
Moutuou, El-kaïoum M. Graded Brauer groups of a groupoid with involution. (English) Zbl 1343.22002 J. Funct. Anal. 266, No. 5, 2689-2739 (2014). MSC: 22A22 16K50 46L80 PDFBibTeX XMLCite \textit{E.-k. M. Moutuou}, J. Funct. Anal. 266, No. 5, 2689--2739 (2014; Zbl 1343.22002) Full Text: DOI arXiv
Debord, Claire; Skandalis, Georges Adiabatic groupoid, crossed product by \(\mathbb R_+^\ast\) and pseudodifferential calculus. (English) Zbl 1300.58007 Adv. Math. 257, 66-91 (2014). Reviewer: Fucai Lin (Zhangzhou) MSC: 58H05 22A22 PDFBibTeX XMLCite \textit{C. Debord} and \textit{G. Skandalis}, Adv. Math. 257, 66--91 (2014; Zbl 1300.58007) Full Text: DOI arXiv
Hu, Jianxun; Wang, Bai-Ling Delocalized Chern character for stringy orbifold K-theory. (English) Zbl 1278.19011 Trans. Am. Math. Soc. 365, No. 12, 6309-6341 (2013). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19L10 57R19 22A22 55N15 53D45 PDFBibTeX XMLCite \textit{J. Hu} and \textit{B.-L. Wang}, Trans. Am. Math. Soc. 365, No. 12, 6309--6341 (2013; Zbl 1278.19011) Full Text: DOI arXiv
Buss, Alcides; Meyer, Ralf; Zhu, Chenchang A higher category approach to twisted actions on \(C^\ast\)-algebras. (English) Zbl 1276.46055 Proc. Edinb. Math. Soc., II. Ser. 56, No. 2, 387-426 (2013). MSC: 46L55 18D05 PDFBibTeX XMLCite \textit{A. Buss} et al., Proc. Edinb. Math. Soc., II. Ser. 56, No. 2, 387--426 (2013; Zbl 1276.46055) Full Text: DOI arXiv
Kališnik, Jure Representations of étale Lie groupoids and modules over Hopf algebroids. (English) Zbl 1249.22003 Czech. Math. J. 61, No. 3, 653-672 (2011). Reviewer: Ladislav Bican (Praha) MSC: 22A22 58H05 16T05 16D40 16D90 19L47 PDFBibTeX XMLCite \textit{J. Kališnik}, Czech. Math. J. 61, No. 3, 653--672 (2011; Zbl 1249.22003) Full Text: DOI EuDML Link
Colman, Hellen On the 1-homotopy type of Lie groupoids. (English) Zbl 1219.22001 Appl. Categ. Struct. 19, No. 1, 393-423 (2011). Reviewer: Christopher Seaton (Memphis) MSC: 22A22 18D05 55P15 57R18 PDFBibTeX XMLCite \textit{H. Colman}, Appl. Categ. Struct. 19, No. 1, 393--423 (2011; Zbl 1219.22001) Full Text: DOI arXiv
Carrillo Rouse, Paulo; Wang, Bai-Ling Twisted longitudinal index theorem for foliations and wrong way functoriality. (English) Zbl 1222.58016 Adv. Math. 226, No. 6, 4933-4986 (2011). Reviewer: Charlotte Wahl (Hannover) MSC: 58J22 19L50 57R30 PDFBibTeX XMLCite \textit{P. Carrillo Rouse} and \textit{B.-L. Wang}, Adv. Math. 226, No. 6, 4933--4986 (2011; Zbl 1222.58016) Full Text: DOI arXiv
Carrillo Rouse, Paulo; Wang, Bai-Ling Twisted index theory for foliations. (Théorie de l’indice tordue pour des feuilletages.) (English. Abridged French version) Zbl 1232.58012 C. R., Math., Acad. Sci. Paris 348, No. 23-24, 1297-1301 (2010). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 57R30 58H05 22A22 19K56 53D55 PDFBibTeX XMLCite \textit{P. Carrillo Rouse} and \textit{B.-L. Wang}, C. R., Math., Acad. Sci. Paris 348, No. 23--24, 1297--1301 (2010; Zbl 1232.58012) Full Text: DOI
Tu, Jean-Louis Twisted \(K\)-theory and Poincaré duality. (English) Zbl 1173.46052 Trans. Am. Math. Soc. 361, No. 3, 1269-1278 (2009). Reviewer: Marta Macho Stadler (Leioa) MSC: 46L80 19K35 PDFBibTeX XMLCite \textit{J.-L. Tu}, Trans. Am. Math. Soc. 361, No. 3, 1269--1278 (2009; Zbl 1173.46052) Full Text: DOI arXiv
Laurent-Gengoux, Camille; Stiénon, Mathieu; Xu, Ping Non-abelian differentiable gerbes. (English) Zbl 1177.22001 Adv. Math. 220, No. 5, 1357-1427 (2009). MSC: 22A22 58H05 PDFBibTeX XMLCite \textit{C. Laurent-Gengoux} et al., Adv. Math. 220, No. 5, 1357--1427 (2009; Zbl 1177.22001) Full Text: DOI arXiv
Debord, Claire; Lescure, Jean-Marie \(K\)-duality for stratified pseudomanifolds. (English) Zbl 1159.19303 Geom. Topol. 13, No. 1, 49-86 (2009). MSC: 19K35 46L80 57N80 58B34 58H05 19K33 19K56 57P99 58A35 58J20 PDFBibTeX XMLCite \textit{C. Debord} and \textit{J.-M. Lescure}, Geom. Topol. 13, No. 1, 49--86 (2009; Zbl 1159.19303) Full Text: DOI arXiv
Kališnik, J.; Mrčun, J. Equivalence between the Morita categories of étale Lie groupoids and of locally grouplike Hopf algebroids. (English) Zbl 1181.22008 Indag. Math., New Ser. 19, No. 1, 73-96 (2008). Reviewer: Marta Macho Stadler (Leioa) MSC: 22A22 58H05 16T05 PDFBibTeX XMLCite \textit{J. Kališnik} and \textit{J. Mrčun}, Indag. Math., New Ser. 19, No. 1, 73--96 (2008; Zbl 1181.22008) Full Text: DOI arXiv
Brodzki, Jacek; Mathai, Varghese; Rosenberg, Jonathan; Szabo, Richard J. D-branes, RR-fields and duality on noncommutative manifolds. (English) Zbl 1162.58008 Commun. Math. Phys. 277, No. 3, 643-706 (2008). Reviewer: Agostino Prástaro (Roma) MSC: 58J42 81R60 81T30 81T75 PDFBibTeX XMLCite \textit{J. Brodzki} et al., Commun. Math. Phys. 277, No. 3, 643--706 (2008; Zbl 1162.58008) Full Text: DOI arXiv Link
Alldridge, Alexander; Johansen, Troels Roussau An index theorem for Wiener-Hopf operators. (English) Zbl 1141.47044 Adv. Math. 218, No. 1, 163-201 (2008). Reviewer: Takahiro Sudo (Nishihara) MSC: 47L80 47B35 46L80 19K56 47A53 PDFBibTeX XMLCite \textit{A. Alldridge} and \textit{T. R. Johansen}, Adv. Math. 218, No. 1, 163--201 (2008; Zbl 1141.47044) Full Text: DOI arXiv
Alldridge, Alexander; Johansen, Troels Roussau Spectrum and analytical indices of the \(C^{*}\)-algebra of Wiener–Hopf operators. (English) Zbl 1128.47018 J. Funct. Anal. 249, No. 2, 425-453 (2007). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47A53 47L80 47B35 46L80 PDFBibTeX XMLCite \textit{A. Alldridge} and \textit{T. R. Johansen}, J. Funct. Anal. 249, No. 2, 425--453 (2007; Zbl 1128.47018) Full Text: DOI arXiv
Laurent-Gengoux, Camille; Tu, Jean-Louis; Xu, Ping Chern-Weil map for principal bundles over groupoids. (English) Zbl 1118.53017 Math. Z. 255, No. 3, 451-491 (2007). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53C07 PDFBibTeX XMLCite \textit{C. Laurent-Gengoux} et al., Math. Z. 255, No. 3, 451--491 (2007; Zbl 1118.53017) Full Text: DOI arXiv
Chen, Weimin On a notion of maps between orbifolds. I: Function spaces. (English) Zbl 1108.22003 Commun. Contemp. Math. 8, No. 5, 569-620 (2006). Reviewer: Mircea Puta (Timişoara) MSC: 22A22 57P99 58D99 46T20 PDFBibTeX XMLCite \textit{W. Chen}, Commun. Contemp. Math. 8, No. 5, 569--620 (2006; Zbl 1108.22003) Full Text: DOI arXiv
Tu, Jean-Louis Groupoid cohomology and extensions. (English) Zbl 1113.22002 Trans. Am. Math. Soc. 358, No. 11, 4721-4747 (2006). Reviewer: Haruo S. Suzuki (Sapporo) MSC: 22A22 20J06 55N30 PDFBibTeX XMLCite \textit{J.-L. Tu}, Trans. Am. Math. Soc. 358, No. 11, 4721--4747 (2006; Zbl 1113.22002) Full Text: DOI arXiv
Landsman, N. P. Lie groupoids and Lie algebroids in physics and noncommutative geometry. (English) Zbl 1088.58009 J. Geom. Phys. 56, No. 1, 24-54 (2006). Reviewer: Jean-François Quint (Villetaneuse) MSC: 58H05 22A22 46L60 53D50 58B34 81R60 PDFBibTeX XMLCite \textit{N. P. Landsman}, J. Geom. Phys. 56, No. 1, 24--54 (2006; Zbl 1088.58009) Full Text: DOI arXiv
Latrémolière, Frédéric Approximation of quantum tori by finite quantum tori for the quantum Gromov–Hausdorff distance. (English) Zbl 1088.46044 J. Funct. Anal. 223, No. 2, 365-395 (2005). MSC: 46L87 53C23 58B34 PDFBibTeX XMLCite \textit{F. Latrémolière}, J. Funct. Anal. 223, No. 2, 365--395 (2005; Zbl 1088.46044) Full Text: DOI arXiv
Debord, Claire; Lescure, Jean-Marie \(K\)-duality for pseudomanifolds with isolated singularities. (English) Zbl 1065.58014 J. Funct. Anal. 219, No. 1, 109-133 (2005). Reviewer: Yong Seung Cho (Seoul) MSC: 58J20 19K56 46L80 PDFBibTeX XMLCite \textit{C. Debord} and \textit{J.-M. Lescure}, J. Funct. Anal. 219, No. 1, 109--133 (2005; Zbl 1065.58014) 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
Popescu, Radu Equivariant \(E\)-theory for groupoids acting on \(C^{\ast}\)-algebras. (English) Zbl 1059.46054 J. Funct. Anal. 209, No. 2, 247-292 (2004). Reviewer: V. M. Manuilov (Moskva) MSC: 46L80 46M15 PDFBibTeX XMLCite \textit{R. Popescu}, J. Funct. Anal. 209, No. 2, 247--292 (2004; Zbl 1059.46054) Full Text: DOI
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
Debord, Claire; Lescure, Jean-Marie \(K\)-duality for pseudomanifolds with an isolated singularity. (English) Zbl 1040.19001 C. R., Math., Acad. Sci. Paris 336, No. 7, 577-580 (2003). Reviewer: Piotr Jaworski (Warszawa) MSC: 19K35 46L80 58J22 PDFBibTeX XMLCite \textit{C. Debord} and \textit{J.-M. Lescure}, C. R., Math., Acad. Sci. Paris 336, No. 7, 577--580 (2003; Zbl 1040.19001) Full Text: DOI
Monthubert, Bertrand Groupoids and pseudodifferential calculus on manifolds with corners. (English) Zbl 1025.58009 J. Funct. Anal. 199, No. 1, 243-286 (2003). Reviewer: Martin Raußen (Aalborg) MSC: 58J40 58H05 22A22 PDFBibTeX XMLCite \textit{B. Monthubert}, J. Funct. Anal. 199, No. 1, 243--286 (2003; Zbl 1025.58009) Full Text: DOI
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
Cariñena, José F.; Clemente-Gallardo, Jesús; Follana, Eduardo; Gracia-Bondía, José M.; Rivero, Alejandro; Várilly, Joseph C. Connes’ tangent groupoid and strict quantization. (English) Zbl 0961.53047 J. Geom. Phys. 32, No. 2, 79-96 (1999). Reviewer: A.Frydryszak (Wrocław) MSC: 53D55 81S10 46L87 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Geom. Phys. 32, No. 2, 79--96 (1999; Zbl 0961.53047) Full Text: DOI arXiv
Kordyukov, Yuri A. Noncommutative spectral geometry of Riemannian foliations. (English) Zbl 0896.58065 Manuscr. Math. 94, No. 1, 45-73 (1997). Reviewer: P.Gilkey (Eugene) MSC: 58J50 46L85 46L87 PDFBibTeX XMLCite \textit{Y. A. Kordyukov}, Manuscr. Math. 94, No. 1, 45--73 (1997; Zbl 0896.58065) Full Text: DOI arXiv EuDML
Connes, Alain Spontaneous symmetry breaking and geometry from the spectral viewpoint. (Brisure de symétrie spontanée et géométrie du point de vue spectral.) (French) Zbl 0918.46064 J. Geom. Phys. 23, No. 3-4, 206-234 (1997). Reviewer: G.A.Noskov (Omsk) MSC: 46L85 19K56 46L87 81R40 PDFBibTeX XMLCite \textit{A. Connes}, J. Geom. Phys. 23, No. 3--4, 206--234 (1997; Zbl 0918.46064) Full Text: DOI
Douglas, Ronald G.; Kaminker, Jerome Induced cyclic cocycles and higher eta invariants. (English) Zbl 0882.58050 J. Funct. Anal. 147, No. 2, 301-326 (1997). Reviewer: K.Habermann (Leipzig) MSC: 58J20 46L80 57R30 PDFBibTeX XMLCite \textit{R. G. Douglas} and \textit{J. Kaminker}, J. Funct. Anal. 147, No. 2, 301--326 (1997; Zbl 0882.58050) Full Text: DOI
Mrčun, Janez An extension of the Reeb stability theorem. (English) Zbl 0860.57022 Topology Appl. 70, No. 1, 25-55 (1996). Reviewer: A.Piatkowski (Łódź) MSC: 57R30 22A22 PDFBibTeX XMLCite \textit{J. Mrčun}, Topology Appl. 70, No. 1, 25--55 (1996; Zbl 0860.57022) Full Text: DOI
Douglas, Ronald G.; Glazebrook, James F.; Kamber, Franz W.; Yu, Guoliang Index formulas for geometric Dirac operators in Riemannian foliations. (English) Zbl 0849.58062 \(K\)-Theory 9, No. 5, 407-441 (1995). Reviewer: J.Slovák (Brno) MSC: 58J20 19K56 19D55 PDFBibTeX XMLCite \textit{R. G. Douglas} et al., \(K\)-Theory 9, No. 5, 407--441 (1995; Zbl 0849.58062) Full Text: DOI
Landsman, N. P. Strict deformation quantization of a particle in external gravitational and Yang-Mills fields. (English) Zbl 0789.58081 J. Geom. Phys. 12, No. 2, 93-132 (1993). Reviewer: V.Balan (Bucureşti) MSC: 58Z05 81T13 46N50 81S05 81S30 PDFBibTeX XMLCite \textit{N. P. Landsman}, J. Geom. Phys. 12, No. 2, 93--132 (1993; Zbl 0789.58081) Full Text: DOI
Kasparov, G. G.; Skandalis, G. Groups acting on buildings, operator \(K\)-theory, and Novikov’s conjecture. (English) Zbl 0738.46035 \(K\)-Theory 4, No. 4, 303-337 (1991). Reviewer: Diep Do Ngoc (Hanoi) MSC: 46L80 19K35 PDFBibTeX XMLCite \textit{G. G. Kasparov} and \textit{G. Skandalis}, \(K\)-Theory 4, No. 4, 303--337 (1991; Zbl 0738.46035) Full Text: DOI
Higson, Nigel Categories of fractions and excision in KK-theory. (English) Zbl 0718.46053 J. Pure Appl. Algebra 65, No. 2, 119-138 (1990). Reviewer: J.Cuntz (Heidelberg) MSC: 46L80 46M20 46L85 PDFBibTeX XMLCite \textit{N. Higson}, J. Pure Appl. Algebra 65, No. 2, 119--138 (1990; Zbl 0718.46053) Full Text: DOI
Hilsum, Michel Fonctorialité en K-théorie bivariante pour les variétés lipschitziennes. (Functoriality in the bivariant K-theory for Lipschitz manifolds). (French) Zbl 0702.57008 \(K\)-Theory 3, No. 5, 401-440 (1989). Reviewer: M.Hilsum MSC: 57R30 46L80 58J20 55N35 18F25 19K35 PDFBibTeX XMLCite \textit{M. Hilsum}, \(K\)-Theory 3, No. 5, 401--440 (1989; Zbl 0702.57008) Full Text: DOI
Pradines, Jean Morphisms between spaces of leaves viewed as fractions. (English) Zbl 0686.57013 Cah. Topologie Géom. Différ. Catég. 30, No. 3, 229-246 (1989). Reviewer: G.Andrzejczak MSC: 57R30 18F15 58H05 57P99 PDFBibTeX XMLCite \textit{J. Pradines}, Cah. Topologie Géom. Différ. Catégoriques 30, No. 3, 229--246 (1989; Zbl 0686.57013) Full Text: arXiv Numdam EuDML
Baaj, Saad; Skandalis, Georges \(C^*\)-algèbres de Hopf et théorie de Kasparov équivariante. (Hopf \(C^*\)-algebras and equivariant Kasparov theory). (French) Zbl 0683.46048 \(K\)-Theory 2, No. 6, 683-721 (1989). Reviewer: L.Maxim-Raileanu MSC: 46L80 PDFBibTeX XMLCite \textit{S. Baaj} and \textit{G. Skandalis}, \(K\)-Theory 2, No. 6, 683--721 (1989; Zbl 0683.46048) Full Text: DOI