Proskurin, Danylo P.; Yakymiv, Roman R. On integrable representations of deformed CCR. (Ukrainian. English summary) Zbl 1289.46097 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2012, No. 3, 27-30 (2012). MSC: 46L65 47A67 81S05 PDF BibTeX XML Cite \textit{D. P. Proskurin} and \textit{R. R. Yakymiv}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2012, No. 3, 27--30 (2012; Zbl 1289.46097)
Matsui, Taku; Shimada, Yoshihito On quasifree representations of infinite dimensional symplectic group. (English) Zbl 1062.22037 J. Funct. Anal. 215, No. 1, 67-102 (2004). Reviewer: Vasile Oproiu (Iaşi) MSC: 22E65 22E47 53D50 PDF BibTeX XML Cite \textit{T. Matsui} and \textit{Y. Shimada}, J. Funct. Anal. 215, No. 1, 67--102 (2004; Zbl 1062.22037) Full Text: DOI arXiv
Proskurin, D. P. On \(^{\ast}\)-representation of Wick CCR. (Ukrainian. English summary) Zbl 0973.22003 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 4, 32-34 (2000). Reviewer: A.P.Petravchuk (Kyïv) MSC: 22D25 16W10 PDF BibTeX XML Cite \textit{D. P. Proskurin}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 4, 32--34 (2000; Zbl 0973.22003)
Ekstrand, C. Neutral particles and super Schwinger terms. (English) Zbl 0977.81022 J. Math. Phys. 41, No. 4, 1672-1680 (2000). MSC: 81Q60 81S05 81R10 81R15 PDF BibTeX XML Cite \textit{C. Ekstrand}, J. Math. Phys. 41, No. 4, 1672--1680 (2000; Zbl 0977.81022) Full Text: DOI arXiv
Proskurin, D. P. Representation of Wick CCR algebra. (English) Zbl 0954.46032 Methods Funct. Anal. Topol. 5, No. 2, 83-85 (1999). Reviewer: A.N.Kochubei (Kyïv) MSC: 46K10 PDF BibTeX XML Cite \textit{D. P. Proskurin}, Methods Funct. Anal. Topol. 5, No. 2, 83--85 (1999; Zbl 0954.46032)
Cavallaro, S.; Morchio, G.; Strocchi, F. A generalization of the Stone-von Neumann theorem to nonregular representations of the CCR-algebra. (English) Zbl 0934.46058 Lett. Math. Phys. 47, No. 4, 307-320 (1999). Reviewer: Hideo Yamagata (Osaka) MSC: 46L30 46N50 81S05 22D25 81R05 PDF BibTeX XML Cite \textit{S. Cavallaro} et al., Lett. Math. Phys. 47, No. 4, 307--320 (1999; Zbl 0934.46058) Full Text: DOI
Antoine, J.-P.; Bagarello, F.; Trapani, C. Extension of representations in quasi \(*\)-algebras. (English) Zbl 0922.46048 Ann. Inst. Henri Poincaré, Phys. Théor. 69, No. 2, 241-264 (1998). Reviewer: C.M.Edwards (Oxford) MSC: 46K10 46H15 PDF BibTeX XML Cite \textit{J. P. Antoine} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 69, No. 2, 241--264 (1998; Zbl 0922.46048) Full Text: Numdam EuDML arXiv
Honegger, Reinhard; Rieckers, Alfred Unitary implementations of one-parameter squeezing groups. (English) Zbl 0909.46058 J. Math. Phys. 39, No. 2, 777-801 (1998). Reviewer: G.Loupias (Montpellier) MSC: 46L60 81R10 81Q10 81V10 81V80 PDF BibTeX XML Cite \textit{R. Honegger} and \textit{A. Rieckers}, J. Math. Phys. 39, No. 2, 777--801 (1998; Zbl 0909.46058) Full Text: DOI
Honegger, Reinhard On the continuous extension of states on the CCR algebra. (English) Zbl 0906.47032 Lett. Math. Phys. 42, No. 1, 11-25 (1997). MSC: 47L90 46N55 81V80 81T10 PDF BibTeX XML Cite \textit{R. Honegger}, Lett. Math. Phys. 42, No. 1, 11--25 (1997; Zbl 0906.47032) Full Text: DOI
Grundling, Hendrik A group algebra for inductive limit groups. Continuity problems of the canonical commutation relations. (English) Zbl 0871.22002 Acta Appl. Math. 46, No. 2, 107-145 (1997). MSC: 22D15 43A10 81T05 81R10 22A25 46L60 PDF BibTeX XML Cite \textit{H. Grundling}, Acta Appl. Math. 46, No. 2, 107--145 (1997; Zbl 0871.22002) Full Text: DOI
Watling, Neil A. Temperature states on loop groups, boson-fermion correspondence, and a determinant identity. (English) Zbl 0763.46062 J. Funct. Anal. 95, No. 1, 173-218 (1991). Reviewer: H.Araki (Kyoto) MSC: 46N50 46L60 81R10 81T99 PDF BibTeX XML Cite \textit{N. A. Watling}, J. Funct. Anal. 95, No. 1, 173--218 (1991; Zbl 0763.46062) Full Text: DOI
Boyer, Robert P. Representation theory of \(U_ 1(H)\). (English) Zbl 0668.46034 Proc. Am. Math. Soc. 103, No. 1, 97-104 (1988). Reviewer: A.Wehrl MSC: 46L55 46L05 22D25 PDF BibTeX XML Cite \textit{R. P. Boyer}, Proc. Am. Math. Soc. 103, No. 1, 97--104 (1988; Zbl 0668.46034) Full Text: DOI
Landstad, M. B.; Phillips, J.; Raeburn, I.; Sutherland, C. E. Representations of crossed products by coactions and principal bundles. (English) Zbl 0722.46031 Trans. Am. Math. Soc. 299, No. 2, 747-784 (1987). MSC: 46L55 46M20 22D25 PDF BibTeX XML Cite \textit{M. B. Landstad} et al., Trans. Am. Math. Soc. 299, 747--784 (1987; Zbl 0722.46031) Full Text: DOI
Lassner, G.; Lassner, G. A.; Trapani, C. Canonical commutation relations on the interval. (English) Zbl 0647.47051 J. Math. Phys. 28, 174-177 (1987). MSC: 47L60 46N99 46K10 47B47 PDF BibTeX XML Cite \textit{G. Lassner} et al., J. Math. Phys. 28, 174--177 (1987; Zbl 0647.47051) Full Text: DOI
Jakóbczyk, Lech On representations of canonical commutation relations in indefinite metric quantum field theory. (English) Zbl 0611.47028 Rep. Math. Phys. 22, 71-77 (1985). MSC: 47B50 46C20 81S05 PDF BibTeX XML Cite \textit{L. Jakóbczyk}, Rep. Math. Phys. 22, 71--77 (1985; Zbl 0611.47028) Full Text: DOI
Warchall, Henry A. \(C^*\)-algebraic scattering theory and explicitly solvable quantum field theories. (English) Zbl 0579.46047 J. Math. Phys. 26, 1264-1279 (1985). MSC: 46L60 47A40 81T05 81U20 47C15 46N99 PDF BibTeX XML Cite \textit{H. A. Warchall}, J. Math. Phys. 26, 1264--1279 (1985; Zbl 0579.46047) Full Text: DOI
Gurarie, David A transitive Banach *-algebra of compact operators with no nontrivial projections. (English) Zbl 0506.46042 Integral Equations Oper. Theory 6, 59-66 (1983). MSC: 46K05 46K10 46H05 PDF BibTeX XML Cite \textit{D. Gurarie}, Integral Equations Oper. Theory 6, 59--66 (1983; Zbl 0506.46042) Full Text: DOI
Gootman, Elliot C. On certain properties of crossed products. (English) Zbl 0518.46052 Operator algebras and applications, Proc. Symp. Pure Math. 38, Part 1, Kingston/Ont. 1980, 311-321 (1982). MSC: 46L55 PDF BibTeX XML
Garbaczewski, Piotr On quantum solitons and their classical relatives: Bethe Ansatz states in soliton sectors of the sine-Gordon system. (English) Zbl 0491.35074 Ann. Phys. 139, 293-313 (1982). MSC: 35Q99 81T08 81Q05 PDF BibTeX XML Cite \textit{P. Garbaczewski}, Ann. Phys. 139, 293--313 (1982; Zbl 0491.35074) Full Text: DOI
Williams, Dana P. The topology on the primitive ideal space of transformation group C*- algebras and C.C.R. transformation group C*-algebras. (English) Zbl 0474.46057 Trans. Am. Math. Soc. 266, 335-359 (1981). MSC: 46L55 46L05 22D25 22D30 54H15 46L40 PDF BibTeX XML Cite \textit{D. P. Williams}, Trans. Am. Math. Soc. 266, 335--359 (1981; Zbl 0474.46057) Full Text: DOI
Plymen, R. J. Automorphic group representations: The hyperfinite \(II_1\) factor and the Weyl algebra. (English) Zbl 0414.46045 Algebres d’operateurs, Semin. Les Plans-sur-Bex 1978, Lect. Notes Math. 725, 291-306 (1979). MSC: 46L40 46L35 22D12 PDF BibTeX XML