Volume 158 Issue 1 – July 2003

## On the $K$-theory of local fields

Pages 1-113 by Lars Hesselholt, Ib Madsen | From volume 158-1

## Quasi-actions on trees I. Bounded valence

Pages 115-164 by Lee Mosher, Michah Sageev, Kevin Whyte | From volume 158-1

## Groups acting properly on “bolic” spaces and the Novikov conjecture

Pages 165-206 by Gennadi Kasparov, Georges Skandalis | From volume 158-1

## A proof of Kirillov’s conjecture

Pages 207-252 by Ehud Moshe Baruch | From volume 158-1

## Sum rules for Jacobi matrices and their applications to spectral theory

Pages 253-321 by Rowan Killip, Barry Simon | From volume 158-1

## Global existence and convergence for a higher order flow in conformal geometry

Pages 323-343 by Simon Brendle | From volume 158-1

## Fundamental groups of manifolds with positive isotropic curvature

Pages 345-354 by Ailana M. Fraser | From volume 158-1