Segal-Becker theorem for $K_G$-theory

The Becker - Coase Theorem Reconsidered ∗

We reconsider the well known Becker Coase (BC ) theorem according to which changes in divorce law should not affect divorce rates. We do that in a context of households that consume public goods in addition to private goods. For the Becker-Coase theorem to hold in this setting, utility must be transferable both within marriage and upon divorce, and the marginal rate of substitution between publ...

James Maps , Segal Maps , and the Kahn - Priddy Theorem

The standard combinatorial approximation C(R n, X) to Qn~nx is a filtered space with easily understood filtration quotients Di Rn, X). Stably, C( Rn, X) splits as the wedge of the Di Rn, X). We here analyze the multiplicative properties of the James maps which give rise to the splitting and of various related combinatorially derived maps between iterated loop spaces. The target of the total Jam...

Isometry Theorem for the Segal–bargmann Transform on Noncompact Symmetric Spaces of the Complex Type

We consider the Segal–Bargmann transform for a noncompact symmetric space of the complex type. We establish isometry and surjectivity theorems for the transform, in a form as parallel as possible to the results in the compact case. The isometry theorem involves integration over a tube of radius R in the complexification, followed by analytic continuation with respect to R. A cancellation of sin...

Isometry theorem for the Segal–Bargmann transform on a noncompact symmetric space of the complex type

We consider the Segal–Bargmann transform on a noncompact symmetric space of the complex type. We establish isometry and surjectivity theorems for the transform, in a form as parallel as possible to the results in the dual compact case. The isometry theorem involves integration over a tube of radius R in the complexification, followed by analytic continuation with respect to R. A cancellation of...

1.2 Segal Spaces and Complete Segal Spaces.............................. 11