Robin Deeley (CU Boulder) Wieler solenoids and the K-theory of the associated stable and stable Ruelle algebras
! CANCELED ! Thu, Nov. 14
Dan Stroock (MIT) Some Applications of Gaussian Measures
Wieler has shown that every irreducible Smale space with totally disconnected stable sets is a solenoid (i.e., obtained via a stationary inverse limit construction). Through examples I will discuss how this allows one to compute the K-theory of the stable algebra, S, and the stable Ruelle algebra, S\rtimes Z. These computations involve writing S as a stationary inductive limit and S\rtimes Z as a Cuntz-Pimsner algebra.
Suppose and are independent, identically distributed real valued random variables and that . Then has the same distribution as and if and only if these are centered Gaussian random variables. Equivalently, if is a Borel probability measure on , then if and only if is a centered Gaussian measure.
In this lecture I will first prove this result in the case when and then give some applications of it.