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April 10, 2015 By

The Riesz interpolation property for $K_0(A) \oplus K_1(A)$

C. R. Math. Rep. Acad. Sci. Canada Vol. 27, (2), 2005 pp. 33–40

June 30, 2005

Lawrence G. Brown, Department of Mathematics, Purdue University, West Lafayette, IN 47907–2067 USA; email: lgb@math.purdue.edu

Abstract/Résumé:

We show that if \(A\) is a \(C^*\)-algebra of real rank zero and stable rank one, then the Riesz interpolation property holds in the ordered group \(K_0(A) \oplus K_1(A)\).

Nous montrons que si \(A\) est une \(C^*\)-algèbre de rang réel zéro et de rang stable égal à un, donc la propriété d’interpolation de Riesz est valable dans le groupe ordonné \(K_0(A) \oplus K_1(A)\).

Keywords:
AMS Subject Classification: Classifications of $C^*$-algebras; factors 46L35

[This journal is open access except for the current year and the preceding 5 years]

PDF(click to download): The Riesz interpolation property for $K_0(A) oplus K_1(A)$

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algebraic number theory approximation property automorphisms Bessel functions Boson-fermion correspondence C*-algebra Carmichael number center problem Chebyshev transform classification Classification of simple C*-algebras composition operators continued fractions Cuntz Semigroup elliptic curves fixed point Fourier transform function fields. functoriality general relativity generic property ideals indefinite inner product inductive limits of sub-homogeneous C*- algebras Irrational rotation algebra J-Hermitian matrix K-theory Kahler manifolds L-functions maximal ideal space nonexpansive mapping numerical range orthogonal polynomials Predual space prime number property SP Renormalization rotation algebras Salem number semi-reciprocal polynomials tracially approximate splitting interval algebras unbounded traces uniqueness Weak Markov set Whitney problems

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