Embedding Actions of Cancellative Directed Semigroups
β Scribed by M. Stroppel
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 145 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0037-1912
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A free action of a group G on a row-ΓΏnite directed graph E induces an action \* on its Cuntz-Krieger C \* -algebra C \* (E), and a recent theorem of Kumjian and Pask says that the crossed product C \* (E) Γ \* G is stably isomorphic to the C \* -algebra C \* (E=G) of the quotient graph. We prove an
For a natural number k β₯ 2 let Ο = Ο(k) be the smallest natural number which does not divide k -1. We show that for any subset A of a right cancellative semigroup S which contains no solutions of the equation x 1 + β’ β’ β’ + x k = y there is an element s in S such that the sets A, A + s, . . . , A + (