Involutory *-antiautomorphisms in Toeplitz algebras
1988 ◽
Vol 103
(3)
◽
pp. 473-480
Keyword(s):
Let H be a separable complex Hilbert space with orthonormal basis {ei: i ∈ ℕ}, let s be the unilateral shift defined by sei = ei+1 for each i and let K be the algebra of compact operators on H. The present paper classifies the involutory *-anti-automorphisms in the C*-algebra C*(sn, K) generated by K and a positive integral power sn of s. It is shown that, up to conjugacy by *-automorphisms, there are two such involutory *-antiautomorphisms when n is even and one when n is odd.
1974 ◽
Vol 26
(1)
◽
pp. 115-120
◽
1981 ◽
Vol 23
(3)
◽
pp. 471-475
1986 ◽
Vol 29
(2)
◽
pp. 221-224
1995 ◽
Vol 47
(5)
◽
pp. 1007-1022
◽
1987 ◽
Vol 29
(1)
◽
pp. 99-104
◽
Keyword(s):
1985 ◽
Vol 26
(2)
◽
pp. 141-143
◽
1991 ◽
Vol 34
(2)
◽
pp. 260-264
◽