Much, Albert A deformation quantization for non-flat spacetimes and applications to QFT. (English) Zbl 07881367 J. Phys. A, Math. Theor. 57, No. 29, Article ID 295306, 30 p. (2024). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{A. Much}, J. Phys. A, Math. Theor. 57, No. 29, Article ID 295306, 30 p. (2024; Zbl 07881367) Full Text: DOI arXiv OA License
Feintzeig, Benjamin H. Quantization as a categorical equivalence. (English) Zbl 07801971 Lett. Math. Phys. 114, No. 1, Paper No. 19, 20 p. (2024). MSC: 46L65 81P05 81R15 46M15 PDFBibTeX XMLCite \textit{B. H. Feintzeig}, Lett. Math. Phys. 114, No. 1, Paper No. 19, 20 p. (2024; Zbl 07801971) Full Text: DOI arXiv
Lechner, Gandalf; Waldmann, Stefan Strict deformation quantization of locally convex algebras and modules. (English) Zbl 1330.53117 J. Geom. Phys. 99, 111-144 (2016). MSC: 53D55 PDFBibTeX XMLCite \textit{G. Lechner} and \textit{S. Waldmann}, J. Geom. Phys. 99, 111--144 (2016; Zbl 1330.53117) Full Text: DOI arXiv
Neshveyev, Sergey Smooth crossed products of Rieffel’s deformations. (English) Zbl 1300.53078 Lett. Math. Phys. 104, No. 3, 361-371 (2014). MSC: 53D55 19D55 46L65 PDFBibTeX XMLCite \textit{S. Neshveyev}, Lett. Math. Phys. 104, No. 3, 361--371 (2014; Zbl 1300.53078) Full Text: DOI arXiv
Măntoiu, Marius On the essential spectrum of phase-space anisotropic pseudodifferential operators. (English) Zbl 1277.47032 Math. Proc. Camb. Philos. Soc. 154, No. 1, 29-39 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B25 47C15 47F05 47G30 35P05 PDFBibTeX XMLCite \textit{M. Măntoiu}, Math. Proc. Camb. Philos. Soc. 154, No. 1, 29--39 (2013; Zbl 1277.47032) Full Text: DOI arXiv
Buchholz, Detlev; Lechner, Gandalf; Summers, Stephen J. Warped convolutions, Rieffel deformations and the construction of quantum field theories. (English) Zbl 1227.46043 Commun. Math. Phys. 304, No. 1, 95-123 (2011). Reviewer: Akira Asada (Takarazuka) MSC: 46L65 81T75 81T40 53D55 46L60 PDFBibTeX XMLCite \textit{D. Buchholz} et al., Commun. Math. Phys. 304, No. 1, 95--123 (2011; Zbl 1227.46043) Full Text: DOI arXiv OA License
Waldmann, Stefan Positivity in Rieffel’s strict deformation quantization. (English) Zbl 1203.81086 Exner, Pavel (ed.), XVIth international congress on mathematical physics, Prague, Czech Republic, August 3–8, 2009. With DVD. Hackensack, NJ: World Scientific (ISBN 978-981-4304-62-7/hbk). 509-513 (2010). MSC: 81S10 53D55 46L60 PDFBibTeX XMLCite \textit{S. Waldmann}, in: XVIth international congress on mathematical physics, Prague, Czech Republic, August 3--8, 2009. With DVD. Hackensack, NJ: World Scientific. 509--513 (2010; Zbl 1203.81086) Full Text: arXiv
Lechner, Gandalf Deformations of operator algebras and the construction of quantum field theories. (English) Zbl 1203.81161 Exner, Pavel (ed.), XVIth international congress on mathematical physics, Prague, Czech Republic, August 3–8, 2009. With DVD. Hackensack, NJ: World Scientific (ISBN 978-981-4304-62-7/hbk). 490-495 (2010). MSC: 81T70 81T75 53D55 PDFBibTeX XMLCite \textit{G. Lechner}, in: XVIth international congress on mathematical physics, Prague, Czech Republic, August 3--8, 2009. With DVD. Hackensack, NJ: World Scientific. 490--495 (2010; Zbl 1203.81161)
Kaschek, Daniel; Neumaier, Nikolai; Waldmann, Stefan Complete positivity of Rieffel’s deformation quantization by actions of \(\mathbb R^d\). (English) Zbl 1172.53055 J. Noncommut. Geom. 3, No. 3, 361-375 (2009). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 46L87 81R60 46L65 PDFBibTeX XMLCite \textit{D. Kaschek} et al., J. Noncommut. Geom. 3, No. 3, 361--375 (2009; Zbl 1172.53055) Full Text: DOI arXiv
Heller, Jakob G.; Neumaier, Nikolai; Waldmann, Stefan A \(C^{*}\)-algebraic model for locally noncommutative spacetimes. (English) Zbl 1127.53075 Lett. Math. Phys. 80, No. 3, 257-272 (2007). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 46L65 46L87 81R60 PDFBibTeX XMLCite \textit{J. G. Heller} et al., Lett. Math. Phys. 80, No. 3, 257--272 (2007; Zbl 1127.53075) Full Text: DOI arXiv
Waldmann, Stefan States and representations in deformation quantization. (English) Zbl 1138.53316 Rev. Math. Phys. 17, No. 1, 15-75 (2005). MSC: 53D55 46L65 53D17 81S10 PDFBibTeX XMLCite \textit{S. Waldmann}, Rev. Math. Phys. 17, No. 1, 15--75 (2005; Zbl 1138.53316) Full Text: DOI arXiv
Waldmann, Stefan Deformation quantization: observable algebras, states and representation theory. (English) Zbl 1083.53087 Dragovich, B.(ed.) et al., Proceedings of the 2nd summer school in modern mathematical physics, Kopaonik, Yugoslavia, September 1–12, 2002. Belgrade: Institute of Physics (ISBN 86-82441-13-6). Sveske Fizičkikh Nauka. Series A: Conferences 16, 1, 83-107 (2003). Reviewer: Zoran Rakić (Beograd) MSC: 53D55 53-02 81S10 47L55 PDFBibTeX XMLCite \textit{S. Waldmann}, in: Proceedings of the 2nd summer school in modern mathematical physics, Kopaonik, Yugoslavia, September 1--12, 2002. Belgrade: Institute of Physics. 83--107 (2003; Zbl 1083.53087) Full Text: arXiv
Sitarz, Andrzej Rieffel’s deformation quantization and isospectral deformations. (English) Zbl 1034.53098 Int. J. Theor. Phys. 40, No. 10, 1693-1696 (2001). Reviewer: Stefan Berceanu (Bucharest-Magurele) MSC: 53D55 81S10 81R60 58B34 PDFBibTeX XMLCite \textit{A. Sitarz}, Int. J. Theor. Phys. 40, No. 10, 1693--1696 (2001; Zbl 1034.53098) Full Text: DOI arXiv
Bursztyn, Henrique; Waldmann, Stefan Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization. (English) Zbl 1039.46052 J. Geom. Phys. 37, No. 4, 307-364 (2001). Reviewer: Jan Hamhalter (Praha) MSC: 46L55 53D55 16D90 22D30 PDFBibTeX XMLCite \textit{H. Bursztyn} and \textit{S. Waldmann}, J. Geom. Phys. 37, No. 4, 307--364 (2001; Zbl 1039.46052) Full Text: DOI arXiv
Abadie, Beatriz The range of traces on quantum Heisenberg manifolds. (English) Zbl 0960.46046 Trans. Am. Math. Soc. 352, No. 12, 5767-5780 (2000). Reviewer: V.M.Deundjak (Rostov-na-Donu) MSC: 46L80 46L55 19K14 PDFBibTeX XMLCite \textit{B. Abadie}, Trans. Am. Math. Soc. 352, No. 12, 5767--5780 (2000; Zbl 0960.46046) Full Text: DOI
Weaver, Nik Deformations of von Neumann algebras. (English) Zbl 0859.46044 J. Oper. Theory 35, No. 2, 223-239 (1996). MSC: 46L55 46L87 46L10 46L57 46H25 PDFBibTeX XMLCite \textit{N. Weaver}, J. Oper. Theory 35, No. 2, 223--239 (1996; Zbl 0859.46044)
Wang, Shuzhou Deformations of compact quantum groups via Rieffel’s quantization. (English) Zbl 0876.17021 Commun. Math. Phys. 178, No. 3, 747-764 (1996). MSC: 17B37 46L87 46L85 PDFBibTeX XMLCite \textit{S. Wang}, Commun. Math. Phys. 178, No. 3, 747--764 (1996; Zbl 0876.17021) Full Text: DOI