On a duality for C*-crossed products by a locally compact group

概要

論文の詳細を見る
Let (_??_, G, α) be a C*-dynamical system, and C*r(_??_; α) the reduced C*-crossed product of _??_ by α. We construct a “dual” C*-crossed product C*d(C*r(_??_; α); β) of C*r(_??_; α) by an isomorphism β from C*r(_??_; α) into the full operator algebra _??_(_??_) on a Hilbert space _??_. Then, it is isomorphic to the C*-tensor product _??_ _??_*C(L2(G)) of _??_ and the C*-algebra C(L2(G)) of all compact operators on L2(G).In the abelian case, there exists a continuous action α of the dual group G of G on the C*-crossed product C*(_??_; α) of _??_ by α such that the C*-crossed C*(C*(_??_; α); α) of C*(_??_; α) by α is isomorphic to C*d (C*r(_??_; α); β).
社団法人日本数学会の論文