Geometry & Topology Volume 9, issue 1 (2005)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

The index of projective families of elliptic operators

Varghese Mathai, Richard B Melrose and Isadore M Singer

Geometry & Topology 9 (2005) 341–373

DOI: 10.2140/gt.2005.9.341

Bibliography

1	O Alvarez, Cohomology and field theory, from: "Symposium on anomalies, geometry, topology (Chicago, Ill., 1985)", World Sci. Publishing (1985) 3 MR850842
2	M F Atiyah, I M Singer, The index of elliptic operators IV, Ann. of Math. $(2)$ 93 (1971) 119 MR0279833
3	N Berline, E Getzler, M Vergne, Heat kernels and Dirac operators, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Springer (1992) MR1215720
4	P Bouwknegt, A L Carey, V Mathai, M K Murray, D Stevenson, Twisted $K$–theory and $K$–theory of bundle gerbes, Comm. Math. Phys. 228 (2002) 17 MR1911247
5	J Dixmier, $C^$–algebras*, North-Holland Publishing Co. (1977) MR0458185
6	J Dixmier, A Douady, Champs continus d'espaces hilbertiens et de $C^$–algèbres*, Bull. Soc. Math. France 91 (1963) 227 MR0163182
7	P Donovan, M Karoubi, Graded Brauer groups and $K$–theory with local coefficients, Inst. Hautes Études Sci. Publ. Math. (1970) 5 MR0282363
8	A Grothendieck, Le groupe de Brauer I: Algèbres d'Azumaya et interprétations diverses, from: "Dix Exposés sur la Cohomologie des Schémas", North-Holland (1968) 46 MR0244269
9	I Kaplansky, The structure of certain operator algebras, Trans. Amer. Math. Soc. 70 (1951) 219 MR0042066
10	N H Kuiper, The homotopy type of the unitary group of Hilbert space, Topology 3 (1965) 19 MR0179792
11	R Minasian, G Moore, $K$–theory and Ramond–Ramond charge, J. High Energy Phys. (1997) MR1606278
12	M K Murray, Bundle gerbes, J. London Math. Soc. $(2)$ 54 (1996) 403 MR1405064
13	V Nistor, E Troitsky, An index for gauge-invariant operators and the Dixmier–Douady invariant, Trans. Amer. Math. Soc. 356 (2004) 185 MR2020029
14	E M Parker, The Brauer group of graded continuous trace $C^ $-algebras*, Trans. Amer. Math. Soc. 308 (1988) 115 MR946434
15	I Raeburn, D P Williams, Morita equivalence and continuous-trace $C^$–algebras*, Mathematical Surveys and Monographs 60, American Mathematical Society (1998) MR1634408
16	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. (1982) 285 MR679708
17	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. (1982) 35 MR679694
18	J Rosenberg, Continuous-trace algebras from the bundle theoretic point of view, J. Austral. Math. Soc. Ser. A 47 (1989) 368 MR1018964
19	J Tomiyama, M Takesaki, Applications of fibre bundles to the certain class of $C^$–algebras*, Tôhoku Math. J. $(2)$ 13 (1961) 498 MR0139025
20	K Tsuboi, The Atiyah–Singer index theorem for $G$–equivariant real elliptic families, Math. J. Okayama Univ. 36 (1994) MR1349029
21	E Witten, D-branes and $K$–theory, J. High Energy Phys. (1998) MR1674715