Virtual effects induced by new physics in rare Z decays are reviewed. Since the expected sensitivity of the giga–Z linear collider is of the order of 10, we emphasize the importance of any new physics effect that gives a prediction above this limit. It is also pointed out that an improvement on the known experimental constraints on rare Z decays will provide us with a critical test of the valid...

We prove that a unital simple approximately homogeneous C*-algebra with no dimension growth absorbs the Jiang–Su algebra tensorially without appealing to the classification theory of these algebras. Our main result continues to hold under the slightly weaker hypothesis of exponentially slow dimension growth.

3 Evidence for Serre’s conjecture 7 3.1 Proofs of Serre’s epsilon-conjecture . . . . . . . . . . . . . . . 7 3.1.1 Theorems of Mazur and Ribet . . . . . . . . . . . . . . 7 3.1.2 The latest word . . . . . . . . . . . . . . . . . . . . . . 13 3.1.3 Raising the level . . . . . . . . . . . . . . . . . . . . . 14 3.2 Cases where the Serre conjecture is known . . . . . . . . . . . 15 3.2.1 Cases whe...