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
Fewster, Christopher J.; Rejzner, Kasia Algebraic quantum field theory. An introduction. (English) Zbl 1448.81423 Finster, Felix (ed.) et al., Progress and visions in quantum theory in view of gravity: bridging foundations of physics and mathematics. Selected talks presented at the seventh international conference, Leipzig, Germany, October 1–5, 2018. Cham: Birkhäuser. 1-61 (2020). Reviewer: Robert Oeckl (Morelia) MSC: 81T05 46L05 46L10 PDFBibTeX XMLCite \textit{C. J. Fewster} and \textit{K. Rejzner}, in: Progress and visions in quantum theory in view of gravity: bridging foundations of physics and mathematics. Selected talks presented at the seventh international conference, Leipzig, Germany, October 1--5, 2018. Cham: Birkhäuser. 1--61 (2020; Zbl 1448.81423) Full Text: DOI arXiv
Drago, Nicolò; Moretti, Valter The notion of observable and the moment problem for \(*\)-algebras and their GNS representations. (English) Zbl 1442.81047 Lett. Math. Phys. 110, No. 7, 1711-1758 (2020). MSC: 81T05 81R10 81S10 47B25 46L05 46L30 47A57 46G10 47N50 PDFBibTeX XMLCite \textit{N. Drago} and \textit{V. Moretti}, Lett. Math. Phys. 110, No. 7, 1711--1758 (2020; Zbl 1442.81047) Full Text: DOI arXiv
Lechner, Gandalf; Scotford, Charley Fock representations of ZF algebras and \(R\)-matrices. (English) Zbl 1443.16042 Lett. Math. Phys. 110, No. 7, 1623-1643 (2020). MSC: 16T25 81T05 30H20 PDFBibTeX XMLCite \textit{G. Lechner} and \textit{C. Scotford}, Lett. Math. Phys. 110, No. 7, 1623--1643 (2020; Zbl 1443.16042) 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
Müller, Lukas; Schweigert, Christoph A GNS construction of three-dimensional abelian Dijkgraaf-Witten theories. (English) Zbl 1383.81268 Rev. Math. Phys. 30, No. 2, Article ID 1850005, 18 p. (2018). MSC: 81T45 57R56 46L30 58H05 55R91 PDFBibTeX XMLCite \textit{L. Müller} and \textit{C. Schweigert}, Rev. Math. Phys. 30, No. 2, Article ID 1850005, 18 p. (2018; Zbl 1383.81268) Full Text: DOI arXiv
Pedersen, Gert K. Eilers, Søren (ed.); Olesen, Dorte (ed.) \(C^*\)-algebras and their automorphism groups. Edited by Søren Eilers and Dorte Olesen. 2nd edition. (English) Zbl 1460.46001 Pure and Applied Mathematics. Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-814122-9/pbk; 978-0-12-814123-6/ebook). xviii, 520 p. (2018). MSC: 46-02 46L05 46L40 46L30 46L51 46L10 46L36 22D25 81T05 PDFBibTeX XMLCite \textit{G. K. Pedersen} et al., \(C^*\)-algebras and their automorphism groups. Edited by Søren Eilers and Dorte Olesen. 2nd edition. Amsterdam: Elsevier/Academic Press (2018; Zbl 1460.46001) Full Text: DOI
Naaijkens, Pieter Quantum spin systems on infinite lattices. A concise introduction. (English) Zbl 1375.82002 Lecture Notes in Physics 933. Cham: Springer (ISBN 978-3-319-51456-7/pbk; 978-3-319-51458-1/ebook). xi, 177 p. (2017). Reviewer: Piotr Garbaczewski (Opole) MSC: 82-01 81R15 81T25 81P70 81Q10 82B10 81P40 81V70 46L05 46L30 PDFBibTeX XMLCite \textit{P. Naaijkens}, Quantum spin systems on infinite lattices. A concise introduction. Cham: Springer (2017; Zbl 1375.82002) Full Text: DOI arXiv
Aastrup, Johannes; Grimstrup, Jesper Møller Quantum holonomy theory. (English) Zbl 1349.83027 Fortschr. Phys. 64, No. 10, 783-818 (2016). MSC: 83C45 81T16 81Q70 46L05 81Q05 81Q20 46L10 PDFBibTeX XMLCite \textit{J. Aastrup} and \textit{J. M. Grimstrup}, Fortschr. Phys. 64, No. 10, 783--818 (2016; Zbl 1349.83027) Full Text: DOI arXiv
Balachandran, A. P.; De Queiroz, A. R.; Vaidya, S. Non-Abelian gauge redundancy and entropic ambiguities. (English) Zbl 1327.81226 Int. J. Geom. Methods Mod. Phys. 12, No. 6, Article ID 1560001, 30 p. (2015). MSC: 81R15 46L30 PDFBibTeX XMLCite \textit{A. P. Balachandran} et al., Int. J. Geom. Methods Mod. Phys. 12, No. 6, Article ID 1560001, 30 p. (2015; Zbl 1327.81226) Full Text: DOI
Gerhold, Malte; Lachs, Stephanie Classification and GNS-construction for general universal products. (English) Zbl 1328.46053 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18, No. 1, Article ID 1550004, 29 p. (2015). MSC: 46L53 60A05 81S25 18D10 PDFBibTeX XMLCite \textit{M. Gerhold} and \textit{S. Lachs}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18, No. 1, Article ID 1550004, 29 p. (2015; Zbl 1328.46053) Full Text: DOI
Fagnola, Franco; Skeide, Michael Restrictions of CP-semigroups to maximal commutative subalgebras. (English) Zbl 1140.46325 Bozejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. Papers presented at the 9th workshop, Bȩdlewo, Poland, September 29–October 10, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 78, 121-132 (2008). MSC: 46L53 46L55 46L08 60J25 81S25 PDFBibTeX XMLCite \textit{F. Fagnola} and \textit{M. Skeide}, Banach Cent. Publ. 78, 121--132 (2008; Zbl 1140.46325) Full Text: arXiv
Bordemann, Martin Deformation quantization: a mini-lecture. (English) Zbl 1208.53092 Paycha, S. (ed.) et al., Geometric and topological methods for quantum field theory. Proceedings of the summer school, Villa de Leyva, Colombia, July 11–29, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4062-7/pbk). Contemporary Mathematics 434, 3-38 (2007). MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{M. Bordemann}, Contemp. Math. 434, 3--38 (2007; Zbl 1208.53092)
Naudts, Jan; Kuna, Maciej Covariance systems. (English) Zbl 1008.46024 J. Phys. A, Math. Gen. 34, No. 43, 9265-9280 (2001). MSC: 46L30 81T10 46L60 82B10 PDFBibTeX XMLCite \textit{J. Naudts} and \textit{M. Kuna}, J. Phys. A, Math. Gen. 34, No. 43, 9265--9280 (2001; Zbl 1008.46024) Full Text: DOI arXiv
Waldmann, Stefan A remark on the deformation of GNS representations of *-algebras. (English) Zbl 1016.46034 Rep. Math. Phys. 48, No. 3, 389-396 (2001). Reviewer: Karl-Hermann Neeb (Darmstadt) MSC: 46K05 81S10 46L05 PDFBibTeX XMLCite \textit{S. Waldmann}, Rep. Math. Phys. 48, No. 3, 389--396 (2001; Zbl 1016.46034) Full Text: DOI arXiv
Merkli, Marco Positive commutators in non-equilibrium quantum statistical mechanics: Return to equilibrium. (English) Zbl 0987.82009 Commun. Math. Phys. 223, No. 2, 327-362 (2001). Reviewer: Piotr Garbaczewski (Zielona Gora) MSC: 82C10 46L60 81Q10 81T17 PDFBibTeX XMLCite \textit{M. Merkli}, Commun. Math. Phys. 223, No. 2, 327--362 (2001; Zbl 0987.82009) Full Text: DOI arXiv
Nagy, Gabriel A deformation quantization procedure for \(C^*\)-algebras. (English) Zbl 1001.46045 J. Oper. Theory 44, No. 2, 369-411 (2000). MSC: 46L65 81R50 PDFBibTeX XMLCite \textit{G. Nagy}, J. Oper. Theory 44, No. 2, 369--411 (2000; Zbl 1001.46045)
Waldmann, Stefan Locality in GNS representations of deformation quantization. (English) Zbl 0976.81019 Commun. Math. Phys. 210, No. 2, 467-495 (2000). Reviewer: Vladimir V.Kisil (Leeds) MSC: 81S10 46N50 47N50 53D55 PDFBibTeX XMLCite \textit{S. Waldmann}, Commun. Math. Phys. 210, No. 2, 467--495 (2000; Zbl 0976.81019) Full Text: DOI arXiv
Kustermans, Johan A natural extension of a left invariant lower semi-continuous weight. (English) Zbl 0974.46054 Math. Nachr. 217, 125-140 (2000). Reviewer: P.Šťovíček (Praha) MSC: 46L89 81R50 PDFBibTeX XMLCite \textit{J. Kustermans}, Math. Nachr. 217, 125--140 (2000; Zbl 0974.46054) Full Text: DOI arXiv
Rainer, M. Role of dilatons in diffeomorphism-covariant algebraic quantum field theory. (English) Zbl 0969.81046 Int. J. Theor. Phys. 39, No. 2, 259-275 (2000). MSC: 81T20 81T05 83C45 PDFBibTeX XMLCite \textit{M. Rainer}, Int. J. Theor. Phys. 39, No. 2, 259--275 (2000; Zbl 0969.81046) Full Text: DOI arXiv
Antonsen, Frank Coherent states on Lie algebras: a constructive approach. (English) Zbl 0964.81038 Int. J. Theor. Phys. 38, No. 2, 675-700 (1999). MSC: 81R30 81R10 81R15 81T40 PDFBibTeX XMLCite \textit{F. Antonsen}, Int. J. Theor. Phys. 38, No. 2, 675--700 (1999; Zbl 0964.81038) Full Text: DOI arXiv
Bordemann, Martin; Neumaier, Nikolai; Waldmann, Stefan Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications. (English) Zbl 0989.53060 J. Geom. Phys. 29, No. 3, 199-234 (1999). MSC: 53D55 81S10 37J05 81Q20 PDFBibTeX XMLCite \textit{M. Bordemann} et al., J. Geom. Phys. 29, No. 3, 199--234 (1999; Zbl 0989.53060) Full Text: DOI arXiv
Singer, I. M. On the master field in two dimensions. (English) Zbl 0861.53075 Gindikin, Simon (ed.) et al., Functional analysis on the eve of the 21st century. Volume I. In honor of the eightieth birthday of I. M. Gelfand. Proceedings of the conference, held at Rutgers University, New Brunswick, NJ, October 24-27, 1993. Boston, MA: Birkhäuser. Prog. Math. 131, 263-281 (1995). Reviewer: A.Galindo (Madrid) MSC: 53Z05 81T40 PDFBibTeX XMLCite \textit{I. M. Singer}, Prog. Math. 131, 263--281 (1995; Zbl 0861.53075)
Wald, Robert M. Quantum field theory in curved spacetime and black hole thermodynamics. (English) Zbl 0842.53052 Chicago, IL: Univ. of Chicago Press. xiii, 205 p. (1994). Reviewer: M. Kriele (Berlin) MSC: 81-01 81T20 83-01 83C47 53C80 81T05 83C57 PDFBibTeX XMLCite \textit{R. M. Wald}, Quantum field theory in curved spacetime and black hole thermodynamics. Chicago, IL: Univ. of Chicago Press (1994; Zbl 0842.53052)
Hofmann, Gerald An explicit realization of a GNS representation in a Krein-space. (English) Zbl 0814.46066 Publ. Res. Inst. Math. Sci. 29, No. 2, 267-287 (1993). MSC: 46N50 46C20 47L60 46K10 81T05 PDFBibTeX XMLCite \textit{G. Hofmann}, Publ. Res. Inst. Math. Sci. 29, No. 2, 267--287 (1993; Zbl 0814.46066) Full Text: DOI
Meister, Andreas The \(C^*\)-algebra obtained by completing the quantum group Fun\(_ q\)(SU(2)). (English) Zbl 0788.46068 J. Math. Phys. 33, No. 12, 4177-4189 (1992). Reviewer: A.Łuczak (Łódź) MSC: 46L89 81R50 46L60 46L05 16W30 46N50 PDFBibTeX XMLCite \textit{A. Meister}, J. Math. Phys. 33, No. 12, 4177--4189 (1992; Zbl 0788.46068) Full Text: DOI
Antoine, J.-P.; Inoue, A. Normal forms on partial \(O^*\)-algebras. (English) Zbl 0770.47025 J. Math. Phys. 32, No. 8, 2074-2081 (1991). MSC: 47L60 81R30 PDFBibTeX XMLCite \textit{J. P. Antoine} and \textit{A. Inoue}, J. Math. Phys. 32, No. 8, 2074--2081 (1991; Zbl 0770.47025) Full Text: DOI
Borchers, H. J.; Yngvason, Jakob Partially commutative moment problems. (English) Zbl 0733.46044 Math. Nachr. 145, 111-117 (1990). Reviewer: W.Slowikowski (Aarhus) MSC: 46N50 46L60 81T05 PDFBibTeX XMLCite \textit{H. J. Borchers} and \textit{J. Yngvason}, Math. Nachr. 145, 111--117 (1990; Zbl 0733.46044) Full Text: DOI
Antoine, J.-P.; Ôta, S. Unbounded GNS representations of a *-algebra in a Krein space. (English) Zbl 0694.46021 Lett. Math. Phys. 18, No. 4, 267-274 (1989). Reviewer: T.Balan MSC: 46C20 81T05 PDFBibTeX XMLCite \textit{J. P. Antoine} and \textit{S. Ôta}, Lett. Math. Phys. 18, No. 4, 267--274 (1989; Zbl 0694.46021) Full Text: DOI
Kholevo, A. S. Conditionally positive-definite functions in quantum probability theory. (English. Russian original) Zbl 0735.46044 J. Sov. Math. 56, No. 5, 2670-2697 (1991); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Noveishie Dostizh. 36, 103-147 (1989). Reviewer: R.Alicki (Gainesville) MSC: 46L51 46L53 46L54 60E07 81S25 82B10 60F99 46N50 PDFBibTeX XMLCite \textit{A. S. Kholevo}, J. Sov. Math. 56, No. 5, 2670--2697 (1989; Zbl 0735.46044); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Noveishie Dostizh. 36, 103--147 (1989) Full Text: DOI
Frydryszak, A.; Jakóbczyk, L. Generalized Gelfand-Naimark-Segal construction for supersymmetric quantum mechanics. (English) Zbl 0654.46067 Lett. Math. Phys. 16, No. 2, 101-107 (1988). MSC: 46N99 46H25 81Q99 PDFBibTeX XMLCite \textit{A. Frydryszak} and \textit{L. Jakóbczyk}, Lett. Math. Phys. 16, No. 2, 101--107 (1988; Zbl 0654.46067) Full Text: DOI
Brüning, Erwin On the construction of fields and the topological role of Jacobi fields. (English) Zbl 0591.46059 Rep. Math. Phys. 21, 143-158 (1985). MSC: 46M05 47L60 81T05 PDFBibTeX XMLCite \textit{E. Brüning}, Rep. Math. Phys. 21, 143--158 (1985; Zbl 0591.46059) Full Text: DOI Link
Fredenhagen, Klaus; Marcu, Mihail Charged states in \(\mathbb Z_ 2\) gauge theories. (English) Zbl 0535.46052 Commun. Math. Phys. 92, No. 1, 81-119 (1983). Reviewer: Klaus Fredenhagen (Freiburg) MSC: 46L60 81T25 81T13 46N50 PDFBibTeX XMLCite \textit{K. Fredenhagen} and \textit{M. Marcu}, Commun. Math. Phys. 92, 81--119 (1983; Zbl 0535.46052) Full Text: DOI
Hochstenbach, W. J. M. A. Quasi-free photon states and the Poincaré group. (English) Zbl 0498.46059 Commun. Math. Phys. 82, 511-521 (1982). MSC: 46N99 81V10 22E70 81R10 PDFBibTeX XMLCite \textit{W. J. M. A. Hochstenbach}, Commun. Math. Phys. 82, 511--521 (1982; Zbl 0498.46059) Full Text: DOI
Pedersen, Gert K. C*-algebras and their automorphism groups. (English) Zbl 0416.46043 London Mathematical Society Monographs. 14. London - New York -San Francisco: Academic Press. X, 416 p. $ 60.00 (1979). MSC: 46L10 46-02 46L40 46L51 46L53 46L54 46L35 22D25 81T05 PDFBibTeX XML Backlinks: MO