The group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra
2019 ◽
Vol 30
(11)
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pp. 1950057
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Keyword(s):
K Theory
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We determine the group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra [Formula: see text] for finite [Formula: see text] in terms of K-theory. We show that there is an example of a space for which the homotopy set is a noncommutative group, and hence, the classifying space of the automorphism group of the Cuntz algebra for finite [Formula: see text] is not an H-space. We also make an improvement of Dadarlat’s classification of continuous fields of the Cuntz algebras in terms of vector bundles.
2012 ◽
Vol 10
(2)
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pp. 299-369
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Keyword(s):
2009 ◽
Vol 6
(2)
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pp. 339-380
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Keyword(s):
1997 ◽
Vol 122
(1)
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pp. 73-89
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Keyword(s):
2002 ◽
Vol 85
(1)
◽
pp. 168-210
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2009 ◽
Vol 80
(1)
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pp. 83-90
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