Ktheory for C*algebras, and beyond
Contact:
Serge Richard (richard@math.nagoyau.ac.jp), Rm. 237 in Sci. Bldg. A

Schedule : Friday 10.30  12.00 in room 552 of the Math Building

Class dates :
April 10, 17, 24
May 1, 8, 15, 22, 29
June 12, 19, 26
July 3, 10, 17, 24

References : (electronic version available upon request)
[Con85] A. Connes, Noncommutative differential geometry, Inst. Hautes Etudes Sci. Publ. Math. 62 (1985), 257360.
[Con86] A. Connes, Cyclic cohomology and the transverse fundamental class of a foliation,
in Geometric methods in operator algebras (Kyoto, 1983), 52144, Pitman Res. Notes Math. Ser. 123, Longman Sci. Tech., Harlow, 1986.
[Con94] A. Connes, Noncommutative geometry, Academic Press, Inc., San Diego, CA, 1994.
[CMR07] J. Cuntz, R. Meyer, J. Rosenberg, Topological and bivariant Ktheory, Oberwolfach Seminars, 36. Birkhauser Verlag, Basel, 2007.
[GI03] V. Georgescu, A. Iftimovici, C*algebras of quantum Hamiltonians, in Operator Algebras and Mathematical Physics,
Conference Proceedings: Constanta (Romania) July 2001, 123167, Theta Foundation, 2003.
[GVF01] J. GraciaBondia, J Varilly, H. Figueroa, Elements of noncommutative geometry,
Birkhauser Advanced Texts, Birkhauser Boston, Inc., Boston, MA, 2001.
[Kha13] M. Khalkhali, Basic noncommutative geometry, EMS Series of Lectures in Mathematics. European Mathematical Society (EMS), Zürich, 2013.
[KS04] J. Kellendonk, H. SchutzBaldes, Boundary maps for C*crossed products with R with an application to the quantum Hall effect,
Comm. Math. Phys. 249 no. 3 (2004), 611637.
[MN08] H. Moriyoshi, T. Natsume, Operator algebras and geometry
Translations of Mathematical Monographs 237, American Mathematical Society, Providence, RI, 2008.
[Mur90] G.J. Murphy, C*algebras and operator theory, Academic Press, Inc., Boston, MA, 1990.
[Ped89] G. Pedersen, Analysis now, Graduate Texts in Mathematics, 118, SpringerVerlag, New York, 1989.
[Ric15] S. Richard, Levinson's theorem: an index theorem in scattering theory,
Proceedings of the Conference Spectral Theory and Mathematical Physics, Santiago 2014,
Operator Theory Advances and Application, Birkhauser.
[RLL00] M. Roerdam, F. Larsen, N. Laustsen, An introduction to Ktheory for C*algebras,
London Mathematical Society Student Texts 49, Cambridge University Press, Cambridge, 2000.
[Yos65] K. Yosida, Functional analysis, Die Grundlehren der Mathematischen Wissenschaften 123,
Academic Press, Inc., New York; SpringerVerlag, Berlin 1965.
[WO93] N.E. WeggeOlsen, Ktheory and C*algebras, a friendly approach, Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1993.
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