Non-stable K-theory and extremally richC⁎-algebras
نویسندگان
چکیده
منابع مشابه
Nonstable K-theory for Z-stable C-algebras
Let Z denote the simple limit of prime dimension drop algebras that has a unique tracial state (cf. Jiang and Su [11]). Let A 6= 0 be a unital C∗-algebra with A ∼= A ⊗ Z. Then the homotopy groups of the group U(A) of unitaries in A are stable invariants, namely, πi(U(A)) ∼= Ki−1(A) for all integer i ≥ 0. Furthermore, A has cancellation for full projections, and satisfies the comparability quest...
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Jiang and Su and (independently) Elliott discovered a simple, nuclear, infinite-dimensional C-algebra Z having the same Elliott invariant as the complex numbers. For a nuclear C-algebra A with weakly unperforated K∗-group the Elliott invariant of A ⊗ Z is isomorphic to that of A. Thus, any simple nuclear C-algebra A having a weakly unperforated K∗-group which does not absorb Z provides a counte...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2014
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2014.04.003