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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 266, Pages 245–253 (Mi znsl1256)  
Thom isomorphism in the “twice” equivariant $K$-theory of $C^*$-fibrations

E. V. Troitskii

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (191 kB)
Abstract: A theorem on the Thom isomorphism for the $K$-theory of fibrations whose fiber is a projective module over a $C^*$-algebra is proved in the situation where a compact Lie group acts on the algebra and on the total space as well.
Received: 10.10.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 113, Issue 5, Pages 683–688
DOI: https://doi.org/10.1023/A:1021162629920
Bibliographic databases:
UDC: 512.7
Language: Russian
Citation: E. V. Troitskii, “Thom isomorphism in the “twice” equivariant $K$-theory of $C^*$-fibrations”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part V, Zap. Nauchn. Sem. POMI, 266, POMI, St. Petersburg, 2000, 245–253; J. Math. Sci. (N. Y.), 113:5 (2003), 683–688
Citation in format AMSBIB
\Bibitem{Tro00}
\by E.~V.~Troitskii
\paper Thom isomorphism in the ``twice'' equivariant $K$-theory of $C^*$-fibrations
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~V
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 266
\pages 245--253
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1256}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1774657}
\zmath{https://zbmath.org/?q=an:1042.46042|1032.46091}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 113
\issue 5
\pages 683--688
\crossref{https://doi.org/10.1023/A:1021162629920}
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