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2015

K-Theory for Real C*-algebras via Unitary Elements with Symmetries

Boersema, Jeffrey L., Loring, Terry A.

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We prove that all eight KO groups for a real C*-algebra can be constructed from homotopy classes of unitary matrices that respect a variety of symmetries.

In this manifestation of the KO groups, all eight boundary maps in the 24-term exact sequence associated to an ideal in a real C*-algebra can be computed as exponential or index maps with formulas that are nearly identical to the complex case.

K-Theory for Real C*-algebras via Unitary Elements with Symmetries · Around

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Wiegmann, N.A
1958
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Atiyah, M.F
1966
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Kasparov, G.G
1980
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Goodearl, K. R
1982
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Bousfield, A.K
1990
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Loring, T.A
1993
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Schröder, H
1993
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1994
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Dadarlat, M.; Loring, T.A
1994
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Rosenberg, J
1994
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Altland, A.; Zirnbauer, M.R
1997
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Loring, T.A
1997
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Blackadar, B
1998
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Loring, T.A.; Pedersen, G.K
1998
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