Abstract
Let (A, R, α) be a C*-dynamical systerr, let H∞(α) be the subalgebra of A consisting of those a in A such that the Arveson spectrum of a is contained in [0, ∞), and let Aα be the fixed point subalgebra of A. In this note we investigate conditions for the existence of an R-invariant conditional expectation from A onto Aα and we show that when such an expectation exists, then the K-theory of H∞(α) is isomorphic to that of Aα. We show by example that if no such expectation exists, then the K-theories may be different.
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© 1994 Springer Science+Business Media New York
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Muhly, P.S., Qiu, C., Xia, J. (1994). Analyticity, Uniform Averaging and K-Theory. In: Curto, R.E., Jørgensen, P.E.T. (eds) Algebraic Methods in Operator Theory. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0255-4_32
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DOI: https://doi.org/10.1007/978-1-4612-0255-4_32
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