EXTENSIONS BY C*-ALGEBRAS WITH REAL RANK ZERO
1993 ◽
Vol 04
(02)
◽
pp. 231-252
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Keyword(s):
The Real
◽
We show that all trivial (unital and essential) extensions of C (X) by a σ-unital purely infinite simple C*-algebra A with K1(A) = 0 are unitarily equivalent, provided that X is homeomorphic to a compact subset of the real line or the unit circle. Therefore all (unital and essential) extensions of such can be completely determined by Ext(B, A). An invariant is introduced to classify all such trivial (unital and essential) extensions of C (X) by a σ-unital C*-algebra A with the properties that RR (M (A)) = 0 and C (A) is simple.
Keyword(s):
1992 ◽
Vol 03
(02)
◽
pp. 309-330
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Keyword(s):
2000 ◽
Vol 03
(03)
◽
pp. 445-452
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1997 ◽
Vol 08
(03)
◽
pp. 383-405
◽
Keyword(s):
2006 ◽
Vol 134
(10)
◽
pp. 3015-3024
◽
Linear orthogonality preservers of Hilbert $C^{*}$-modules over $C^{*}$-algebras with real rank zero
2012 ◽
Vol 140
(9)
◽
pp. 3151-3160
◽
1997 ◽
Vol 125
(9)
◽
pp. 2671-2676