Jørgensen, Palle E. T. Operators and representation theory. Canonical models for algebras of operators arising in quantum mechanics. 3rd edition. Revised and updated republication of the 1988 original published by North Holland. (English) Zbl 1365.46060 Mineola, NY: Dover Publications (ISBN 978-0-486-81572-5; 978-0-486-82257-0/ebook). xxv, 276 p. (2017). MSC: 46L60 46-02 46L55 46L80 46L51 46L53 46L54 17B15 46L40 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, Operators and representation theory. Canonical models for algebras of operators arising in quantum mechanics. 3rd edition. Revised and updated republication of the 1988 original published by North Holland. Mineola, NY: Dover Publications (2017; Zbl 1365.46060)
Cho, Ilwoo Jorgensen, Palle E. T. (ed.) Algebras, graphs and their applications. Edited by Palle E. T. Jorgensen. (English) Zbl 1282.05002 Boca Raton, FL: CRC Press (ISBN 978-1-4665-9019-9/hbk; 978-1-4665-9020-5/ebook). xii, 431 p. (2014). Reviewer: Nadia Larsen (Oslo) MSC: 05-02 47-02 05C20 20L05 46L80 47L10 05C90 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen} (ed.), Algebras, graphs and their applications. Edited by Palle E. T. Jorgensen. Boca Raton, FL: CRC Press (2014; Zbl 1282.05002) Full Text: DOI
Bratteli, Ola; Jørgensen, Palle E. T.; Ostrovs’kyĭ, Vasyl’ Representation theory and numerical AF-invariants. The representations and centralizers of certain states on \(\mathcal O_d\). (English) Zbl 1060.46048 Mem. Am. Math. Soc. 797, 178 p. (2004). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 46L55 37B10 46L30 46L80 47A67 47A20 43A65 PDFBibTeX XMLCite \textit{O. Bratteli} et al., Representation theory and numerical AF-invariants. The representations and centralizers of certain states on \(\mathcal O_d\). Providence, RI: American Mathematical Society (AMS) (2004; Zbl 1060.46048) Full Text: DOI arXiv
Jørgensen, Palle E. T.; Proskurin, Daniil P.; Samoilenko, Yurii S. Generalized canonical commutation relations: representations and stability of universal enveloping \(C^*\)-algebras. (English) Zbl 1039.46047 Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(2), 456-460 (2002). Reviewer: M. O. Nesterenko (Kyïv) MSC: 46L05 46L65 46L80 46N50 81S05 81T05 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen} et al., in: Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9--15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads'kyi. Kyïv: Institute of Mathematics of NAS of Ukraine. 456--460 (2002; Zbl 1039.46047)
Jørgensen, Palle E. T. A duality for endomorphisms of von Neumann algebras. (English) Zbl 0897.46052 J. Math. Phys. 37, No. 3, 1521-1538 (1996). Reviewer: A.Van Daele (Heverlee) MSC: 46L40 46L10 46L55 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, J. Math. Phys. 37, No. 3, 1521--1538 (1996; Zbl 0897.46052) Full Text: DOI Link
Jørgensen, Palle E. T. Selfadjoint operator extensions and Clifford algebras. (English) Zbl 0796.47003 Complex Variables, Theory Appl. 24, No. 1-2, 13-30 (1994). Reviewer: P.E.T.Jorgensen (Iowa City) MSC: 47A20 47L30 46L80 32M15 58B12 47F05 15A66 58J50 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, Complex Variables, Theory Appl. 24, No. 1--2, 13--30 (1994; Zbl 0796.47003) Full Text: DOI
Jørgensen, Palle E. T. Noncommutative differential geometry, quantization, and smooth symmetries of the \(C^*\)-algebras associated to topological dynamics. (English) Zbl 0695.46030 Integral Equations Oper. Theory 12, No. 5, 632-712 (1989). Reviewer: Do Ngoc Diep MSC: 46L80 46L51 46L53 46L54 53D50 81S10 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, Integral Equations Oper. Theory 12, No. 5, 632--712 (1989; Zbl 0695.46030) Full Text: DOI
Bratteli, Ola; Elliott, George A.; Goodman, F. M.; Jørgensen, Palle E. T. Smooth Lie group actions on non-commutative tori. (English) Zbl 0685.46038 Nonlinearity 2, No. 2, 271-286 (1989). Reviewer: J.Cuntz MSC: 46L40 46L55 46L80 47A67 PDFBibTeX XMLCite \textit{O. Bratteli} et al., Nonlinearity 2, No. 2, 271--286 (1989; Zbl 0685.46038) Full Text: DOI
Jørgensen, Palle E. T. Operators and representation theory. Canonical models for algebras of operators arising in quantum mechanics. (English) Zbl 0678.46050 North-Holland Mathematics Studies, 147. Notas de Matemática (120). Amsterdam etc.: North-Holland. VIII, 337 p.; Dfl. 175.00 (1988). Reviewer: J.Tomiyama MSC: 46L60 46-02 46L55 46L80 46L51 46L53 46L54 17B15 46L40 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, Operators and representation theory. Canonical models for algebras of operators arising in quantum mechanics. Amsterdam etc.: North-Holland (1988; Zbl 0678.46050)
Cuntz, Joachim; Elliott, George A.; Goodman, Frederick M.; Jørgensen, Palle E. T. On the classification of noncommutative tori. II. (English) Zbl 0601.46059 C. R. Math. Acad. Sci., Soc. R. Can. 7, 189-194 (1985). MSC: 46L51 46L53 46L54 46L80 46L55 46L05 46L35 PDFBibTeX XMLCite \textit{J. Cuntz} et al., C. R. Math. Acad. Sci., Soc. R. Can. 7, 189--194 (1985; Zbl 0601.46059)