메뉴 건너뛰기




Volumn 9, Issue , 2005, Pages 341-373

The index of projective families of elliptic operators

Author keywords

Determinant lines; Index theorem; Projective families of elliptic operators; Projective vector bundles; Twisted Chern character; Twisted K theory

Indexed keywords


EID: 15944408751     PISSN: 14653060     EISSN: None     Source Type: Journal    
DOI: 10.2140/gt.2005.9.341     Document Type: Article
Times cited : (33)

References (21)
  • 2
    • 0000238246 scopus 로고
    • The index of elliptic operators. IV
    • M F Atiyah, I M Singer, The index of elliptic operators. IV, Ann. of Math. 93 (1971) 119-138
    • (1971) Ann. of Math. , vol.93 , pp. 119-138
    • Atiyah, M.F.1    Singer, I.M.2
  • 5
    • 0003421383 scopus 로고
    • North Holland, Amsterdam
    • J Dixmier, C*-algebras, North Holland, Amsterdam (1982)
    • (1982) C*-Algebras
    • Dixmier, J.1
  • 6
    • 0001395815 scopus 로고
    • Champs continues d'espaces hilbertiens at de C*-algèbres
    • J Dixmier, A Douady, Champs continues d'espaces hilbertiens at de C*-algèbres, Bull. Soc. Math. France 91 (1963) 227-284
    • (1963) Bull. Soc. Math. France , vol.91 , pp. 227-284
    • Dixmier, J.1    Douady, A.2
  • 8
    • 0002866605 scopus 로고
    • Le groupe de Brauer. I. Algèbres d'azumaya et interpré tations diverses
    • North-Holland, Amsterdam
    • A Grothendieck, Le groupe de Brauer. I. Algèbres d'Azumaya et interprétations diverses, from: "Dix Exposés sur la Cohomologie des Schémas", North-Holland, Amsterdam (1968) 46-66
    • (1968) Dix Exposés Sur la Cohomologie des Schémas , pp. 46-66
    • Grothendieck, A.1
  • 9
    • 0001314632 scopus 로고
    • The structure of certain operator algebras
    • I. Kaplansky, The structure of certain operator algebras, Trans. Amer. Math. Soc. 79 (1951) 219-255
    • (1951) Trans. Amer. Math. Soc. , vol.79 , pp. 219-255
    • Kaplansky, I.1
  • 10
    • 0000489418 scopus 로고
    • The homotopy type of the unitary group of Hilbert space
    • N Kuiper, The homotopy type of the unitary group of Hilbert space, Topology 3 (1965) 19-30
    • (1965) Topology , vol.3 , pp. 19-30
    • Kuiper, N.1
  • 11
    • 6044231002 scopus 로고    scopus 로고
    • K-theory and Ramond-Ramond charge
    • paper 2
    • R Minasian, G Moore, K-theory and Ramond-Ramond charge, J. High Energy Phys. (1997) no. 11, paper 2
    • (1997) J. High Energy Phys. , vol.11
    • Minasian, R.1    Moore, G.2
  • 13
    • 0742271513 scopus 로고    scopus 로고
    • An index for gauge-invariant operators and the Diximier-Douady invariant
    • V Nistor, E Troitsky, An index for gauge-invariant operators and the Diximier-Douady invariant, Trans. Amer. Math. Soc. 356 (2004) 185-218
    • (2004) Trans. Amer. Math. Soc. , vol.356 , pp. 185-218
    • Nistor, V.1    Troitsky, E.2
  • 14
    • 84861481367 scopus 로고
    • The Brauer group of graded continuous trace C*-algebras
    • E M Parker, The Brauer group of graded continuous trace C*-algebras, Trans. Amer. Math. Soc. 308 (1988) 115-132
    • (1988) Trans. Amer. Math. Soc. , vol.308 , pp. 115-132
    • Parker, E.M.1
  • 15
    • 0002499318 scopus 로고    scopus 로고
    • Morita equivalence and continuous-trace C*-algebras
    • American Mathematical Society, Providence, RI
    • I Raeburn, D P Williams, Morita equivalence and continuous-trace C*-algebras, Mathematical Surveys and Monographs 60, American Mathematical Society, Providence, RI (1998)
    • (1998) Mathematical Surveys and Monographs 60
    • Raeburn, I.1    Williams, D.P.2
  • 16
    • 0001445567 scopus 로고
    • Morita equivalence for operator algebras
    • Proc. Sympos. Pure Math. 38, Amer. Math. Soc. Providence, RI
    • M A Rieffel, Morita equivalence for operator algebras, from: "Operator algebras and applications, Part I (Kingston, Ont. 1980)", Proc. Sympos. Pure Math. 38, Amer. Math. Soc. Providence, RI (1982) 285-298
    • (1982) Operator Algebras and Applications, Part I (Kingston, Ont. 1980) , pp. 285-298
    • Rieffel, M.A.1
  • 17
    • 0002497134 scopus 로고
    • Homological invariants of extensions of C*-algebras
    • Proc. Sympos. Pure Math. 38, Amer. Math. Soc. Providence, RI
    • J Rosenberg, Homological invariants of extensions of C*-algebras, from: "Operator algebras and applications, Part 1 (Kingston, Ont. 1980)", Proc. Sympos. Pure Math. 38, Amer. Math. Soc. Providence, RI (1982) 35-75
    • (1982) Operator Algebras and Applications, Part 1 (Kingston, Ont. 1980) , pp. 35-75
    • Rosenberg, J.1
  • 18
    • 84974277626 scopus 로고
    • Continuous trace algebras from the bundle theoretic point of view
    • J Rosenberg, Continuous trace algebras from the bundle theoretic point of view, Jour. Austr. Math. Soc. 47 (1989) 36-38
    • (1989) Jour. Austr. Math. Soc. , vol.47 , pp. 36-38
    • Rosenberg, J.1
  • 19
    • 0000341070 scopus 로고
    • Applications of fibre bundles to a certain class of C*-algebras
    • M Takesaki, J Tomiyama, Applications of fibre bundles to a certain class of C*-algebras, Tohoku Math. J. 13 (1961) 498-523
    • (1961) Tohoku Math. J. , vol.13 , pp. 498-523
    • Takesaki, M.1    Tomiyama, J.2
  • 20
    • 0343556358 scopus 로고
    • The Atiyah-Singer index theorem for G-equivariant Real elliptic families
    • K Tsuboi, The Atiyah-Singer index theorem for G-equivariant Real elliptic families, Math. J. Okayama Univ. 36 (1994) 145-177
    • (1994) Math. J. Okayama Univ. , vol.36 , pp. 145-177
    • Tsuboi, K.1
  • 21
    • 85028160130 scopus 로고    scopus 로고
    • D-branes and K-theory
    • paper 19
    • E Witten, D-branes and K-theory, J. High Energy Phys. 12 (1998) paper 19
    • (1998) J. High Energy Phys. , vol.12
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.